Find the equation of the line that contains the two given points. $( - 2,0 ) , ( 0 , - 5 )$
A)2 y + 5 x = -10
B)2 y + 5 x = 10
C)2 y - 5 x = -5
D)2 y - 5 x = -10
E)2 y - 5 x = 10

Question

Quizplus · Accepted Answer

The slope of the line through the points $(-2,0)$ and $(0,-5)$ is $\frac{-5-0}{0-(-2)} = \frac{-5}{2}$. Using point-slope form $y - y_1 = m(x - x_1)$ with point $(-2,0)$, we get $y - 0 = \frac{-5}{2}(x + 2)$. Simplifying, $2y = -5x - 10$, which rearranges to $2y + 5x = -10$.

Find the Equation of the Line That Contains the Two (−2,0),(0,−5)( - 2,0 ) , ( 0 , - 5 )(−2,0),(0,−5)

Find the Equation of the Line That Contains the Two $( - 2,0 ) , ( 0 , - 5 )$