Graph the equation using the intercept method. Label the intercepts on the graph. $3 x + 4 y - 8 = 0$

Question

Quizplus · Accepted Answer

To find the x-intercept, we set y = 0 and solve for x:

3x + 4(0) - 8 = 0

3x - 8 = 0

3x = 8

x = 8/3

So the x-intercept is (8/3, 0).

To find the y-intercept, we set x = 0 and solve for y:

3(0) + 4y - 8 = 0

4y - 8 = 0

4y = 8

y = 2

So the y-intercept is (0, 2).

Plotting these two points and drawing a straight line through them gives us the graph of the equation.

Graph the Equation Using the Intercept Method 3x+4y−8=03 x + 4 y - 8 = 03x+4y−8=0