To find the y-intercept of a line represented by an equation in slope-intercept form (y = mx + b), we need to find the value of b. The y-intercept is the point where the line crosses the y-axis, which means that the x-coordinate is 0.
In this case the equation is not in slope-intercept form, but we can still find the y-intercept by isolating y on one side of the equation.
x - 2y = 5
Add 2y to both sides of the equation:
x = 2y + 5
Divide both sides of the equation by 2:
y = (x + 5) / 2
The y-intercept is the point (0, b) where b is the constant in the equation. In this case, the y-intercept is (0, 5/2)
So the y-intercept of the line represented by the equation x−2y=5 is (0,5/2)