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.