Question

20 multiple choice 4 points the table of values is for the linear function y = \frac{1}{2}x - 2. x y -4 -4 -2 -3 0 -2 2 -1 4 0 when the function is graphed, what are the x - and y - intercepts? x - intercept -2; y - intercept 4 x - intercept 4; y - intercept -2 x - intercept 4; y - intercept 0 x - intercept \frac{1}{2}; y - intercept -2

Explanation:

Step1: Find the y - intercept

The y - intercept is the value of y when x = 0. For the linear function $y=\frac{1}{2}x - 2$, when x = 0, we substitute x into the equation: $y=\frac{1}{2}(0)-2=-2$.

Step2: Find the x - intercept

The x - intercept is the value of x when y = 0. Set y = 0 in the equation $y=\frac{1}{2}x - 2$. Then $0=\frac{1}{2}x - 2$. Add 2 to both sides: $2=\frac{1}{2}x$. Multiply both sides by 2 to solve for x: $x = 4$.

Answer:

B. x - intercept 4; y - intercept - 2