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).

Find x-intercept: To find the x-intercept, we set y to 0 and solve for x. 2x - 0 = 8 2x = 8 x = 8 / 2 x = 4 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. 2x - y = 8 -y = -2x + 8 y = 2x - 8 The slope of the graph is 2.

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Math Problems

Grade 8

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

-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 $2$ .