Problem 3 More questions about straight lines.
Problem 3 More questions about straight lines.
.1. Find the equation of the line passing through the points (1,4) and (5,2). Give your answer in point-slope form, y - y₁ = m(x-x₁).
2. Write the equation of this line in slope-intercept form
3. Sketch the line on the axes provided.
4. What is the slope of any line that is perpendicular to the line above?
Homework Answers
For the following specifications of lines find the equation of the line in (a) General form...
For the following specifications of lines find the equation of the line in (a) General form (b) Point-gradient form (c) Gradient intercept form i. Passing through (2.2) with gradient 3 ii. Passing through (-3,7) parallel to the line 3x-4y+1=0 Passing through (1.1) perpendicular to the line 7x+3y-5=0 For each of the above lines find both the x intercept and the y intercept
Problem 4: (a) (5 points) Find the equation for the line that passes through the points...
Problem 4: (a) (5 points) Find the equation for the line that passes through the points (-4,-2) and (8, 1). Write your equation in se form, slope-intercept form, or point- slope form. (Extra Credit: Write the equation for the line in all three forms) (b) (5 points) Graph the line. Problem 5: (10 points) Find the equation for the line passing through the point (3.2) and perpendicular to the line y = ',x + 7. The the line Problem 6:...
of ARKANSAS AT PINE BLUFF NA DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Linear Equations Name: 1....
of ARKANSAS AT PINE BLUFF NA DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Linear Equations Name: 1. Write the standard form equation of the line connecting the points (-2, 6) and (4,-4). 2. Write the slope-intercept form equation of the line connecting the points (-4, 4) and (4,10). Write the equation of a horizontal line passing through the point (7,-3). 4. Write the equation of a vertical line passing through the point (3,-7). 5. Write the standard form equation of the...
Parallel lines have the same slope. Perpendicular lines have negative-reciprocal slope. Find the equation of the...
Parallel lines have the same slope. Perpendicular lines have negative-reciprocal slope. Find the equation of the line with the given conditions. Write your answer in slope intercept form. Passes through the point (-2, 1) and is parallel to the line y = 3x -5. Passes through the point (-2, 1) and is perpendicular to the line y = 3x -5.
In problems 1 - 4, write the equation in the slope-intercept form using the given information....
In problems 1 - 4, write the equation in the slope-intercept form using the given information. 1. Write the equation in the slope-intercept form that passes through the given point and has the indicated slope m. (3,-4) and m=- 2. Write the equation in the slope-intercept form that passes through the given points: (-1,-2) and (3,-4) 3. Write the equation in the slope-intercept form of the line that passes through the point (-1, 3) and is parallel to the line...
3.) Given four points (1, 2), (a,0), (3, 1), and (1-a, o), where at 1 and...
3.) Given four points (1, 2), (a,0), (3, 1), and (1-a, o), where at 1 and a = -2, find the following: a) The equation of line La passing through the points (1, 2) and Cao). Express the answer is slope- intercept form. b.) The equation of the line La passing through the points (3, 1) and (1-a, O). Express in slope-intercept form, C) For which values of a the lines Lq and la are perpendicula(? ds for which value...
Find the slope of a line perpendicular to the line
Find the slope of a line perpendicular to the line y=xUse the slope-intercept form of a linear equation to write the equation of each line with the given slope and y-intercept.slope -3; y-intercept (0, -1/5)write the equation of the line passing through the given points. write the equation in standard form Ax+By=C(8,-3) AND (4,-8)Write an equation of each line. Write the equation in the form x=a y=b or y =mx+bThrough (-2,-3): perpendicular to 3x+2y =5Find the equation of each line....
Use the given conditions to write an equation for the line in point-slope form and in...
Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. 1 Passing through (4. - 5) and perpendicular to the line whose equation is y= 3x+4 Write an equation for the line in point-slope form. (Simplify your answer. Use integers or fractions for any numbers in the equation.) Write an equation for the line in slope-intercept form. (Simplify your answer. Use integers or fractions for any numbers in the equation.)
Write the equation of the line with slope m = - 3 and passing through the...
Write the equation of the line with slope m = - 3 and passing through the point (4, - 4). Write the final equation in slope-intercept form. (y- O) = (x - Now solve for y and write as a function y = f(x).! f(x) = Preview
For the following specifications of lines find the equation of the line in (a) General form...
For the following specifications of lines find the equation of the line in (a) General form (b) Point-gradient form (c) Gradient intercept form i. Passing through (2,2) with gradient 3 ii. Passing through (-3,7) parallel to the line 38-4y+1=0 Passing through (1.1) perpendicular to the line 7x+3y-5=0
For the following specifications of lines find the equation of the line in (a) General form (b) Point-gradient form (c) Gradient intercept form i. Passing through (2.2) with gradient 3 ii. Passing through (-3,7) parallel to the line 3x-4y+1=0 Passing through (1.1) perpendicular to the line 7x+3y-5=0 For each of the above lines find both the x intercept and the y intercept
Problem 4: (a) (5 points) Find the equation for the line that passes through the points (-4,-2) and (8, 1). Write your equation in se form, slope-intercept form, or point- slope form. (Extra Credit: Write the equation for the line in all three forms) (b) (5 points) Graph the line. Problem 5: (10 points) Find the equation for the line passing through the point (3.2) and perpendicular to the line y = ',x + 7. The the line Problem 6:...
of ARKANSAS AT PINE BLUFF NA DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Linear Equations Name: 1. Write the standard form equation of the line connecting the points (-2, 6) and (4,-4). 2. Write the slope-intercept form equation of the line connecting the points (-4, 4) and (4,10). Write the equation of a horizontal line passing through the point (7,-3). 4. Write the equation of a vertical line passing through the point (3,-7). 5. Write the standard form equation of the...
Parallel lines have the same slope. Perpendicular lines have negative-reciprocal slope. Find the equation of the line with the given conditions. Write your answer in slope intercept form. Passes through the point (-2, 1) and is parallel to the line y = 3x -5. Passes through the point (-2, 1) and is perpendicular to the line y = 3x -5.
In problems 1 - 4, write the equation in the slope-intercept form using the given information. 1. Write the equation in the slope-intercept form that passes through the given point and has the indicated slope m. (3,-4) and m=- 2. Write the equation in the slope-intercept form that passes through the given points: (-1,-2) and (3,-4) 3. Write the equation in the slope-intercept form of the line that passes through the point (-1, 3) and is parallel to the line...
3.) Given four points (1, 2), (a,0), (3, 1), and (1-a, o), where at 1 and a = -2, find the following: a) The equation of line La passing through the points (1, 2) and Cao). Express the answer is slope- intercept form. b.) The equation of the line La passing through the points (3, 1) and (1-a, O). Express in slope-intercept form, C) For which values of a the lines Lq and la are perpendicula(? ds for which value...
Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. 1 Passing through (4. - 5) and perpendicular to the line whose equation is y= 3x+4 Write an equation for the line in point-slope form. (Simplify your answer. Use integers or fractions for any numbers in the equation.) Write an equation for the line in slope-intercept form. (Simplify your answer. Use integers or fractions for any numbers in the equation.)
Write the equation of the line with slope m = - 3 and passing through the point (4, - 4). Write the final equation in slope-intercept form. (y- O) = (x - Now solve for y and write as a function y = f(x).! f(x) = Preview
For the following specifications of lines find the equation of the line in (a) General form (b) Point-gradient form (c) Gradient intercept form i. Passing through (2,2) with gradient 3 ii. Passing through (-3,7) parallel to the line 38-4y+1=0 Passing through (1.1) perpendicular to the line 7x+3y-5=0
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