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Heather was asked to graph 2x + 4y = 12 by using slope and y-intercept. Her graph is shown.

Which choice supports the graph that she has drawn.

A) The slope is positive

1

2

and the y-intercept is (0,3).

B) The slope is negative

1

2

and the y-intercept is (0,3).

C) The slope is positive

1

2

and the y-intercept is (0,-3).

D) The slope is negative

1

2

and the y-intercept is (0,-3).

2 Answers

5 votes

Answer: B) The slope is negative 1 /2 and the y-intercept is (0, 3).

Step-by-step explanation: usatestprep approved

User PlexQ
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6.2k points
5 votes
The problem statement says "the graph is shown," but you haven't shared it. Please do that if possible. Thank you.

Heather was asked to graph 2x + 4y = 12 by using slope and y-intercept.

We can quickly put this into slope-intercept form:
12 - 2x
Subtract 2x from both sides: 2x - 2x + 4y = 12 - 2x => y = ------------
4

In simplest form, this is y = 3 - (1/2)x, or (-1/2)x + 3. The slope is -1/2 and the y-intercept is (0,3).
User Georges Martin
by
5.8k points