Question

Choose the best graph that represents the linear equation -2x - 16y = -8

Answer 1

Since you have not included a picture of the graph, I cannot tell you which specific graph it is, but I can describe it. The graph will have a y-intercept at -0.5 and a slope of -2/16.

Explanation:

To get this information you must put it in slope intercept form. y=mx+b.

What I did first was transfer the -16y over.

-2x-16y=8

-2x=16y+8

Next, I transferred the 8 over, which gives us

-2x-8=16y

Finally, I divided by 16, to isolate the y, which gives you

-2x/16 -8/16=y, which simplifies to -2x/16 - .05=y.

Using this you can determine the y- intercept, -0.5, anf the slope -2/16.

Answer 2

See attachment.

EXPLANATION

The given linear equation is

-2x - 16y = -8

Let us rewrite this in the slope intercept form,

`- 16y = 2x - 8`

Divide through by -16.

`y = - (1)/(8) x + (1)/(2)`

The slope of this graph is

`m = - (1)/(8)`

and the y-intercept is ½.

The x-intercept is found by plugging in y=0.

-2x-16(0)=-8

-2x=-8

x=4

The x-intercept is (4,0)

We can use the slope,the x-intercept and the y-intercept to identify the graph to be the one shown in the attachment.