Determine the intercepts of the line.

Question

Do not round your answers.
4x-1=3y+5

Answer 1

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

4x - 1 = 3(0) + 5
4x - 1 = 5
4x = 6
x = 6/4
x = 3/2

The x-intercept is (3/2, 0).

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

4(0) - 1 = 3y + 5
-1 = 3y + 5
3y = -1 - 5
3y = -6
y = -6/3
y = -2

The y-intercept is (0, -2).