The equation of the line that passes through the points (-2,0) and (0,8) can be expressed in the form y=mx+b. What is the value of m+b?
We start by finding the slope. The change of y is +8 and the change of x is +2 between these points. This gives a slope of 8/2 or 4. we then find the y intercept or the y when x is 0. In this case y is 8 when x = 0. In slope intercept form this is y=4x+8. Giving us m+b=12
+37162 slope = (y1-y2)/(x1-x2) = -8/-2 = 4
y = 4x+b sub in one of the points to find 'b'
0 = 4(-2) +b b = 8
y = 4x + 8 m + b = 12
