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The equation 2x-y=8 is graphed in the xy-plane. Which of the following is a true statement about the graph?
Choose 1 answer:
(A) The graph's x-intercept is 4 and its y-intercept is -8 .
B The graph's x-intercept is 4 and its y-intercept is 8 .
(C) The graph has a slope of -2 .
D The graph has a slope of (1)/(2).

The equation $2x-y=8$ is graphed in the $xy$ -plane. Which of the following is a true statement about the graph? $\newline$ Choose $1$ answer: $\newline$ (A) The graph's $x$ -intercept is $4$ and its $y$ -intercept is $-8$ . $\newline$ (B) The graph's $x$ -intercept is $4$ and its $y$ -intercept is $8$ . $\newline$ (C) The graph has a slope of $-2$ . $\newline$ (D) The graph has a slope of $\frac{1}{2}$ .

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Write a linear equation from a slope and y-intercept

Full solution

Q. The equation

2x-y=8

is graphed in the

xy

-plane. Which of the following is a true statement about the graph?

\newline

Choose

1

answer:

\newline

(A) The graph's

x

-intercept is

4

and its

y

-intercept is

-8

.

\newline

(B) The graph's

x

-intercept is

4

and its

y

-intercept is

8

.

\newline

(C) The graph has a slope of

-2

.

\newline

(D) The graph has a slope of

\frac{1}{2}

.

Find x-intercept: To find the x-intercept, we set $y$ to $0$ and solve for $x$ . $\newline$ $2x - 0 = 8$ $\newline$ $2x = 8$ $\newline$ $x = \frac{8}{2}$ $\newline$ $x = 4$ $\newline$ The x-intercept is $4$ .
Find y-intercept: To find the y-intercept, we set $x$ to $0$ and solve for $y$ . $2(0) - y = 8$ $-y = 8$ $y = -8$ The y-intercept is $-8$ .
Find slope: To find the slope of the graph, we need to rewrite the equation in slope-intercept form, which is $y = mx + b$ , where $m$ is the slope. $\newline$ $2x - y = 8$ $\newline$ $-y = -2x + 8$ $\newline$ $y = 2x - 8$ $\newline$ The slope of the graph is $2$ .

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