Question

Determine the intercepts of the line.
Do not round your answers.
3x+2y=5

Answer 1

Answer is (5/3, 5/2) or (1 2/3, 2 1/2)

x = 5/3 or 1 2/3
y = 5/2 or 2 1/2

Step by step

To solve for x and y intercepts:

For x, sub 0 in for y and solve
For y, sub 0 in for x and solve

Answer 2

x intercept = 1.66666...

y intercept = 2.5

The x intercept is approximate. The 6's go on forever. The y intercept is exact without any rounding done to it.

======================================

Step-by-step explanation:

Plug in y = 0. Then solve for x to get the x intercept.

3x+2y = 5

3x+2*0 = 5

3x = 5

x = 5/3

x = 1.66666...

The 6's go on forever.

------------------

Plug x = 0 into the equation and solve for y. This will get us the y intercept.

3x+2y = 5

3*0+2y = 5

0+2y = 5

2y = 5

y = 5/2

y = 2.5

This value is exact without any rounding