Question

What is the equation in slope-intercept form? y=mx+b (2,-2),(-2,4)

Answer 1

Hello there,

What is the equation in slope-intercept form? y=mx+b (2,-2),(-2,4)

Quick Answer: y=-3/2x+1

Answer 2

y=-3/2x+1

Explanation:

To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:

`m=(y_2-y_1)/(x_2-x_1)=(4--2)/(-2-2)=(4+2)/(-2+-2)=(6)/(-4)=(-3)/(2)`

Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

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

y+2=-3/2(x-2)

y+2=-3/2x+3

y=-3/2x+1