How do you find the intercepts for 4x+3y=8?

2 Answers
Mar 25, 2018

x-intercept(2,0)
y-intercept(0,8/3)

Explanation:

To find the x-intercept, substitute y=0,

4x=8
x=2

To find the y-intercept, substitute x=0,

3y=8
y=8/3

Hence, the x-intercepts and y-intercepts are (2,0) and (0,8/3) respectively.

Mar 25, 2018

The graph intersects the X axis in P_1(2,0) and the Y axis in P_2(0,8/3).

Explanation:

The graph intersects the Y axis when X=0 and the X axis when Y=0. Therefore, taking 4x+3y=8 and the cases:

  1. When x=0:
    3y=8 => y=8/3
    P_2(0,8/3)

  2. When y=0:
    4x=8 => x=8/4=2
    P_1(2,0)

graph{4x+3y=8 [-7.024, 7.02, -3.51, 3.51]}