Question

write the point-slope of the equation of the satisfying each of the following conditions. then use the point-slope form to write the slope-intercept form of the equation in function slope=-2/3,passing through (12,-8)

Answer 1

Required equation is y - y1 = m(x - x1); where m is the slope and (x1, y1) = (12, -8)
y - (-8) = -2/3(x - 12)
y + 8 = -2/3(x - 12)  . . . . . .  [point slope form]
y + 8 = -2/3 x + 8
y = -2/3 x + 8 - 8
y = -2/3 x  . . . . . . .  [slope-intercept form]
f(x) = -2/3 x  . . . .  .. [function form]