Question

A line through (4,-2) with slope -3

Answer 1

Answer: y = -3x + 10

Explanation:

Using the formula for finding the equation of line ;

y -
`y_(1)` = m ( x -
`x_(1)` )

`x_(1)` = 4

`y_(1)` = -2

m = -3

Substituting into the formula , we have

y - (-2) = - 3 ( x - 4 )

y + 2 = -3x + 12

writing the equation of the line in slope - intercept form , this means that we must make y the subject of the formula , that is

y = -3x + 12 - 2

y = -3x + 10