Find the equation of the line that contains the two given points. $( - 8,0 ) , ( 0 , - 3 )$
A)8 y + 3 x = -24
B)8 y + 3 x = 24
C)8 y - 3 x = -3
D)8 y - 3 x = -24
E)8 y - 3 x = 24

Question

Quizplus · Accepted Answer

The slope of the line through the points $(-8,0)$ and $(0,-3)$ is $\frac{-3-0}{0-(-8)} = \frac{-3}{8}$. Using point-slope form, $y - y_1 = m(x - x_1)$, with $m = -\frac{3}{8}$ and point $(-8, 0)$, we get $y - 0 = -\frac{3}{8}(x + 8)$. Multiplying both sides by 8 to clear the fraction gives $8y = -3x - 24$, which rearranges to $8y + 3x = -24$.

Find the Equation of the Line That Contains the Two (−8,0),(0,−3)( - 8,0 ) , ( 0 , - 3 )(−8,0),(0,−3)

Find the Equation of the Line That Contains the Two $( - 8,0 ) , ( 0 , - 3 )$