Question

Find the y-intercept of the line 18x - y = 5.

a) (0, 5)
b) (0, -5)
c) (5, 0)
d) (-5, 0)

Answer 1

To find the y-intercept of the line 18x - y = 5, set x to 0 and solve for y, which gives -y = 5 and thus y = -5. Therefore, the y-intercept is at the point (0, -5), corresponding to option b).

Step-by-step explanation:

To find the y-intercept of the line given by the equation 18x - y = 5, we need to determine the value of y when x is 0. We can do this by substituting x = 0 into the equation:

1. Start with the original equation: 18x - y = 5.
2. Substitute x = 0 into the equation: 18(0) - y = 5.
3. Simplify: -y = 5.
4. Multiply both sides by -1: y = -5.

This tells us that the y-intercept of the line is at the point (0, -5), which corresponds to option b).