Write an equation for the line described. Give your answer in standard form.
-$x$-intercept $( 2,0 )$, y-intercept $( 0,5 )$
A) $5 x + 2 y = - 10$
B) $- 5 x + 2 y = 10$
C) $5 x - 2 y = 10$
D) $5 x + 2 y = 10$

Question

Quizplus · Accepted Answer

The equation of a line in standard form is $Ax + By = C$. Given the $x$-intercept $(2,0)$ and $y$-intercept $(0,5)$, we can use these points to find the equation of the line. The slope $m$ is $\frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 0}{0 - 2} = -\frac{5}{2}$. Using the slope-intercept form $y = mx + b$ and the $y$-intercept (0,5), we find $b = 5$. Converting to standard form, we get $5x + 2y = 10$.

Write an Equation for the Line Described xxx -Intercept (2,0)( 2,0 )(2,0)

Write an Equation for the Line Described $x$ -Intercept $( 2,0 )$