Question

:

Find the intercepts and graph the following linear equations:
3x+4y-12=0

x - intercept:
y - intercept:

Answer 1

x-intercept: (4, 0)

y-intercept: (0, 3)

Explanation:

The intercepts of the equation can be found by setting each variable to zero and solving for the other. The graph will be a line through the intercept points.

Intercepts

Setting x=0 and solving for y, we have ...

4y -12 = 0 ⇒ y = 12/4 = 3

Setting y=0 and solving for x, we have ...

3x -12 = 0 ⇒ x = 12/3 = 4

The intercepts are ...

x-intercept: (4, 0)

y-intercept: (0, 3)

Graph

The line will go through these intercept points.