Write the equation of the line that satisfies the given condition: x intercept of 3 and y intercept of -12. Express the final equation in standard form.
A) 4 x $-$ y = 12.
B) 4 x + y = 12
C) 4 x $-$ y = 12
D) 4 x + y = -12

Question

Quizplus · Accepted Answer

The x-intercept is the point where the line crosses the x-axis, which is (3,0), and the y-intercept is the point where the line crosses the y-axis, which is (0,-12). Using these points, we can find the slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-12 - 0}{0 - 3} = 4$. The equation of the line in slope-intercept form is $y = 4x - 12$. Converting this to standard form $Ax + By = C$ gives $4x - y = 12$, which matches option A.

Write the Equation of the Line That Satisfies the Given −-−

Write the Equation of the Line That Satisfies the Given $-$