Question

find the x and y - intercepts for the graph below. consider what happens when a = 0 or when b = 0. when a = 0, the equation becomes by = c, or y = \frac{c}{b}. because \frac{c}{b} is a constant, you can write y = b. horizontal and vertical lines. the graph of y = b is a horizontal line. the line passes through the point (0, b). the graph of x = a is a vertical line. the line passes through the point (a, 0).

Explanation:

Step1: Recall x - intercept definition

The x - intercept is the value of x when y = 0. We look at the graph and find the point where the line crosses the x - axis.

Step2: Recall y - intercept definition

The y - intercept is the value of y when x = 0. We look at the graph and find the point where the line crosses the y - axis.

Step3: Identify x - intercept from graph

The line crosses the x - axis at x = 4.

Step4: Identify y - intercept from graph

The line crosses the y - axis at y=-2.

Answer:

x - intercept: 4; y - intercept: - 2