Determine the intercepts of the line.
Do not round your answers.
4x-1=3y+5
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).