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

Answer:

y=-3/2x+1

Step-by-step 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:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{4--2}{-2-2}=\frac{4+2}{-2+-2}=\frac{6}{-4}=\frac{-3}{2}$

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