Use the point-slope form to find the equation of a line with the properties given. Then write the equation in slope-intercept form. Through (2,-6) and (4,-3) The equation of the line is

Answer:y +6 = (3/2)(x -2) . . . . . . point-slope formy = (3/2)x -9 . . . . . . . . . . slope-intercept formStep-by-step explanation:You know the slope is given by ...   m = (y2 -y1)/(x2 -x1)   = (-3-(-6))/(4 -2) = 3/2The point-slope form of the equation of a line through (h, k) with slope m is ...   y -k = m(x -h)Filling in the values m=3/2, (h, k) = 2, -6), we find the point-slope equation to be ...   y -(-6) = (3/2)(x -2) . . . . point-slope formSubtracting 6 and eliminating parentheses gives ...   y = (3/2)x -3 -6   y = (3/2)x -9 . . . . . slope-intercept form