How do you find the x and y intercepts of 8x + 4y = 24 ?

Oct 3, 2016

x-intercept = 3
y-intercept = 6

Explanation:

This is the equation of a straight line. When the line crosses the x-axis that is the x- intercept, the corresponding y-coordinate will be zero. Substituting y = 0 into the equation and solving for x gives the x-intercept.

$y = 0 : 8 x + \left(4 \times 0\right) = 24$

$\Rightarrow 8 x = 24 \Rightarrow x = 3 \leftarrow \text{ is the x-intercept}$

Similarly, when the line crosses the y-axis the corresponding x- coordinate will be zero. Let x = 0 and solve for y.

$x = 0 : \left(8 \times 0\right) + 4 y = 24$

$\Rightarrow 4 y = 24 \Rightarrow y = 6 \leftarrow \text{ is the y-intercept}$
graph{-2x+6 [-10, 10, -5, 5]}