Need help with slope intercept?

The slope intercept form is: y=mx+b where m=slope, and b= y-intercept.

In order to use this formula, you need to find the slope.

The slope formula is: m=y2-y1/x2-x1 where (x1,y1) and (x2,y2) are separate points.

It does not matter which point is x1 or x2 as long as the points are paired up the same (you cannot ever pair up an x1 with a y2).

Lets assign (-2,7) as (x1,y1)

Lets also assign (3,-3) as (x2,y2)

Now plug in the formula to find the slope: m= -3-7/3-(-2)

m= -10/5 = -2

Now that we know what the slope is, we can use the formula.

y= (-2)x+b

We need to find the b, so how do we do that? We can plug in a pair of points for x and y to find b. Now it does not matter which points you pick because the line passes through both points, so I will choose (3,-3)

Plug in 3 for x and -3 for y: -3= (-2)(3) + b

-3 = -6 +b

add 6 to both sides: b=3

Now we know what b is. The formula is: y= -2x+3

First you find the slope with the formula y2-y1/x2-x1, which would be -2. Then you substitute the slop end one set of points (it doesn't matter which one) into point slope form, which is y-y1=m(slope)*(x-x1). The equation would look like this: using point (-2,7) y-7=-2(x+2). Then you solve from there. Hope I helped.