Which equation has a graph that is parallel to the graph of 2x − y = −1?

A. 2x + y = 8
B. y = −1/2x + 3
C. y − 1 = 2(x − 3)
D. y = −2x − 1

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melissarampersad494 melissarampersad494 · Answer 1 · 2020-11-04T20:17:06+01:00

Answer:

B

Step-by-step explanation:

So from the first graphs equation is

2x-y=-1

therefore if we made y the subject of the formula, the equation would be

2x+1=y , this is also the same as y=2x+1

from this, the equation is clearly in the form y=mx+c so we can get the gradient

The gradient of graph one would be 2

The perpendicular gradient would be the negative reciprocal of graph one's gradient which would be -1/2

Now we look at our options and see which one has the gradient as -1/2

joaobezerra joaobezerra · Answer 2 · 2021-10-19T13:26:14+02:00

Using linear function concepts, it is found that the equation parallel to 2x - y = -1 is given by:

C. y − 1 = 2(x − 3)

The equation of a line has the following format:

[tex]y = mx + b[/tex]

The equation of the line given is:

[tex]2x - y = -1[/tex]

[tex]y = 2x + 1[/tex]

Which has slope [tex]m = 2[/tex]

If we look at option C:

[tex]y - 1 = 2(x - 3)[/tex]

[tex]y = 2x - 6 + 1[/tex]

[tex]y = 2x - 5[/tex]

It also has slope of [tex]m = 2[/tex], the same as the line given, thus, they are parallel.

A similar problem is given at https://brainly.com/question/22532445