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Which equation represents the relationship shown in the graph?
A. Y = -2x b. Y = 2x c. Y = - 1/2x d. Y = 1/2x

Which equation represents the relationship shown in the graph A Y 2x b Y 2x c Y 12x d Y 12x class=

Respuesta :

ThatSwimGirl
Hi there!

We need to look at the slope for this answer, and on this graph, from the first point, we move up 2 and over 1. So the slope would be 2/1 or 2.

So, you answer here is y = 2x.

I hope I helped!
calculista

Step 1

Find the slope m

Let

[tex]A(2,4)\\B(4,8)[/tex]

we know that

the slope is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute in the formula

[tex]m=\frac{8-4}{4-2}[/tex]

[tex]m=\frac{4}{2}[/tex]

[tex]m=2[/tex]

Step 2

Find the equation of the line

we know that

the equation of the line into point-slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=2[/tex]

[tex](x1,y1)=A(2,4)[/tex]

substitute

[tex]y-4=2(x-2)[/tex]

[tex]y=2x-4+4[/tex]

[tex]y=2x[/tex]

therefore

the answer is the option

[tex]y=2x[/tex]


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