Solution:
Find the equation of the line passing through (5,− 3) and perpendicular to the line 2x + 3y = 7 . Find the equation of the line passing through (5, 2) and (− 3, 2) . Graph the following functions and find the x − intercept, y - intercept, slope in each case. 7x − 4y = 10 2y − x − 1 = 0
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:...
6. (10 points) Find the equation of the line that is perpendicular to the line 6x - 4y = 3 and passes through the point (6,-1). (a) Find the slope of the given line 6x – 4y = 3. (b) What is the slope of a line that is perpendicular to the above line? (c) Now, find the equation of the perpendicular line that passes throu
is this correct? Find an equation of the tangent line to the graph of f(x)= -5-4x at (2, -21). The equation of the tangent line to the graph of f(x)= -5-4x at (2,-21) is y = - 16x + 11 Find an equation of the tangent line to the graph of f(x)= -5-4x at (2, -21). The equation of the tangent line to the graph of f(x)= -5-4x at (2,-21) is y = - 16x + 11
4. (10 points) (a) Find a parametric equation and symmetric equation of the line that pases through the point (2, -1, 3) and is parallel to the vector 7 +27 -37. (b) At what points does this line intersect the yz-plane?
3. Find an equation of the line containing the point(3,-5) and perpendicular to the line 3x - 5y = 9 (5pts)
Find an equation of line L. Write your answer using fractions or integers. (.-5) The equation of line Lis y = 010
1 - Find an equation of the vertical line that passes through (x, y) = (−10, 18). 2 - Find an equation of the line that passes through the point (−1, 6) and is parallel to the line passing through the points (−3, −5) and (1, 3). (Let x be the independent variable and y be the dependent variable.) 3 - Find an equation of the line that passes through the point (4, 3) and is perpendicular to the line...
Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6 Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6
a) Find the equation of the tangent line to the function g(x) at x = 5 х Given that f(x) = V3x + 4 and k(x) = x2 – 4, calculate b) (k.f)(10) c) k-1(x)