10. Write an equation of a line in standard form for the given conditions. passes through...

Question

Question

math geometry

Answer 1

Answer #1

When 2 lines are perpendicular, the product of their slopes = -1. Therefore m1 x m2 = -1

The slope of line (5/4)x - y = 6 is m1 = 5/4

Therefore (5/4) x m2 = -1

m2 = -4/5.

This line passes through the point (0,0), therefore by the skope point method, we get

y - 0 = (-4/5) * (x - 0)

y = -(4/5)x

We need the equation of the line in the STandard Form = Ax + By + C = 0 form

Cross multiplying, 5y = -4x

Therefore 5y + 4x = 0 (Option 2)

Answer 2

Similar Homework Help Questions

Use the given conditions to write an equation for the line in standard form. Passing through...

Use the given conditions to write an equation for the line in standard form. Passing through (5,-9) and perpendicular to the line whose equation is 2x - 3y = 7 Write an equation for the line in standard form.
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.)
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:...

Find an equation of the line that passes through the point (4, 2) and is perpendicular to the line 2x + 5y 6 = 0 Need H...

Find an equation of the line that passes through the point (4, 2) and is perpendicular to the line 2x + 5y 6 = 0 Need Help? Talk to a Tutor Read It Find an equation of the line that passes through the point (4, 2) and is perpendicular to the line 2x + 5y 6 = 0 Need Help? Talk to a Tutor Read It
write an equation of the line that passes through the given point and is parallel to the given line

write an equation of the line that passes through the given point and is parallel to the given line. Write the answer in a slope intercept form (0,4) 8y -48x=3 y= -1/6x + 6 y=-1/6x + 4 y=6x -4 y= -1/4x + 6 y=6x + 4
1- Write an equation of the line satisfying the given conditions. Write the answer in standard...

1- Write an equation of the line satisfying the given conditions. Write the answer in standard form with no fractional coefficients. Passes through (4, 4) and is perpendicular to the line defined by -5x + 4y = -6. 2- A fireworks mortar is launched straight upward from a pool deck platform 4m off the ground at an initial velocity of 61 m/sec. The height of the mortar can be modeled by where h(t) is the height in meters and t is...

Write the standard form of the equation of the circle with center (1.3) that passes through...

Write the standard form of the equation of the circle with center (1.3) that passes through the point(0, -3). Provide your answer below
22. Write y :- 4) in standard form and slope-intercept form. Standard form: Slope-intercept form: Write...

22. Write y :- 4) in standard form and slope-intercept form. Standard form: Slope-intercept form: Write an equation in slope-intercept form for the line that passes through the given point (-1, -7) and is perpendicular to the graph of 3x + 12y = -6.
Write an equation of the line that satisfies the given conditions. Give the equation (a) in...

Write an equation of the line that satisfies the given conditions. Give the equation (a) in slope-intercept form and (b) in standard form. 3 m =- 3. (-2,4) (a) Write the equation in slope-intercept form. (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression.) Write an equation in standard form of the line passing through the points (2, 6) and (-4, 8). The equation is . (Type your answer in...

Use the given conditions to write an equation for the line in point slope form and...

Use the given conditions to write an equation for the line in point slope form and in slope-intercept form Passing through (-9, - 8) and parallel to the line whose equation is y= - 4x + 5 Write an equation for the line in point-slope form (Simplify your answer. Use integers or fractions for any numbers in the equation)