Question

I NEED HELP...finding the slope-intercept form equation
of the line passing through this points


(-12, 6) and (-36, 32)

Answer 1

Answer: y=-13/12x-7

Step-by-step explanation:

To find the slope-intercept form, we first need to find the slope. To find the slope, you use the formula $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$. We use the two given points to find the slope.

$m=\frac{32-6}{-36-(-12)} =\frac{26}{-24} =-\frac{13}{12}$

Now that we have our slope, we can start filling out the slope-intercept form equation.

y=mx+b

y=-13/12x+b

Since we don't know the y-intercept, we can use one of the given points and solve for b.

6=(-13/12)(-12)+b                              [multiply (-13/12) and -12]

6=13+b                                              [subtract both sides by 13]

b=-7

With the y-intercept, we can complete our equation.

y=-13/12x-7