We need to make an equation in slope intercept form. A model of this type of equation is: y=mx+b
Given the points, we can find the slope, which is the letter m in the model. Slope using points can be found using this equation: m= y2-y1/x2-x1
Let’s substitute the points into this equation and solve for the slope
-1- -2/12-18= 1/-6=-1/6
Let’s substitute this in for m
y=-1/6x+b
Now let’s solve for y-intercept, or the b. We’ll do this by choosing a point and substituting the y and x into the equation. This will not stay here, but will only be used while we solve for b.
-1=-1/6(12)+b
-1=-2+b +2 +2 _____ 1=b
Once we substitute this into b, out equation is complete. The equation is now y= -1/6x +1
This is your answer! Hope this helps comment below for more questions :)
