Question

Find an equation for the line with the given properties. Express your answer using the general form or the slope-intercept form of the equation of a line.
Slope=-3; containing the point (2,-2)

the equation is

Answer 1

Answer:

$y=-3x+4$

Step-by-step explanation:

To get the equation in the slope-intercept form first, put the equation in slope-point form using the information given. The slope-point form is $y-(-2)=-3(x-2)$. Then solve for y.

Distribute -3 to $(x-2)$,

$y-(-2)=-3x+6$

Then, add -2 to both sides,

$y=-3x+4$

This is your final answer; the slope is -3 and the y-intercept is 4. There are also a few other ways to solve but I find this the easiest.