Question

Write an equation of the line passing through (4,-2) that is parallel to the line -3x minus 4y =5

Answer 1

Equation of line is given as y = mx + c, where m is the gradient and c is the y-intercept.

First, rearrange -3x - 4y = 5 into y = mx + c form.

-3x - 4y = 5

-4y = 3x + 5

y = -3/4x - 5/4

Since parallel lines have the same gradient, equation of line is y = -3/4x + c.

Substitute (4,-2) into the equation to find c.

-2 = -3/4(4) + c

c = 1

Hence, equation of line is y = -3/4x + 1.

Answer 2

Explanation:

y=4x3