Question

What is the Y-intercept of

x-2y=10?
Can someone please explain how they get the answer.

Answer 1

To find the y-intercept, convert this equation to slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept (where the line intersects the y-axis).

To convert this equation to slope-intercept, y must be isolated.

x - 2y = 10

Subtract x from both sides.

x - 2y - x = 10 - x

-2y = 10 - x

Divide both sides by -2.

-2y/-2 = (10 - x)/-2

y = -(10 - x)/2

y = -5 + x/2

y = 1/2x - 5

b is -5. Thus,

Answer:

The y-intercept is (0, -5).

This can also be determined by graphing.