Question

What is the y-intercept of the graph of the equation 5x + (–2y) = 8?y-intercept =

Answer 1

D

Explanation:

-4

Answer 2

We are given the following equation of a line:

`5x+-2y=8`

We are asked to determine the y-intercept. To do that we need to convert the equation into the following form:

`y=mx+b`

Where "b" is the y-intercept.

To convert the equation we will solve for "y" first by subtracting "5x" from both sides:

`-2y=8-5x`

Now, we divide both sides by -2:

`y=(8)/(-2)-(5x)/(-2)`

Now we simplify the fractions:

`y=-4+(5)/(2)x`

Therefore, the y-intercept is -4.