Question

Which is an equation of the line that has a slope of and passes though (–1, 3)?

Answer 1

$\huge \bf༆ Answer ༄$

Let's use slope - point form of a line to find the equation ~

• $\sf{y} - y1 = m(x - x1)$

use the coordinates of point (-1 , 3)

• $\sf{y - 3 = - \dfrac{ 2}{3} }(x - ( - 1))$

• $\sf{y - 3} = - \dfrac{2}{3} (x + 1)$

• $\sf{y = - \dfrac{2}{3} x} - \dfrac{2}{3} + 3$

• $\sf{y = - \dfrac{2}{3}x } + \dfrac{7}{3}$

therefore ~ C is the Correct choice !