Find the equation of the line through the points (-3,3) and (1,0) using point-slope form. Then rewrite the equation in slope-intercept form.
+23246 Point-slope formula: y - y1 = m(x - x1)
Since we don't know the slope, we have it find the slope first:
m = [ y2 - y1 ] / [ x2 - x1 ] = [0 - 3] / [1 - -3] = -3/4
y - y1 = m(x - x1) ---> y - 3 = (-3/4)(x - -3) ---> y - 3 = (-3/4)(x + 3)
multiply both sides by 4: 4y - 12 = -3(x + 3)
simplify: 4y - 12 = -3x - 9
4y = -3x + 3
divide by 4: y = (-3/4)x + 3/4
