Question

If the coordinates of point E are (-4, y), what is the value
of y?
O -8
O -4
O0
O8

Answer 1

-4 of course .........

Answer 2

The value of y is -8

What is slope of the line?

"The slope of tee line passing through points $(x_1,y_1),(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$"

What is y-intercept?

"The point at which the graph intersects the Y-axis."

What is slope intercept form of the line?

"y = mx + c, where m is the slope of the line and c is the Y-intercept."

For given question,

We have been given the graph of a line.

From the graph, we can observe that the line is passing through the points (4, 4) and (-6, 0)

Using slope formula the slope of the line would be,

$\Rightarrow m=\frac{4-(-6)}{4-0}\\\\\Rightarrow m=\frac{10}{4}\\\\\Rightarrow m=\frac{5}{2}$

Also, the line intersects y-axis at y = 2

This means the y-intercept is c = 2

Using the slope-intercept form of the line the equation of the line would be,

$y=mx+c\\\\y=\frac{5}{2}x+2$

Point E(-4, y) lies on the given line.

So, this point satisfies the equation of the line.

$\Rightarrow y=\frac{5}{2}(-4)+2\\\\ \Rightarrow y=-10+2\\\\\Rightarrow y=-8$

Therefore, the value of y is -8

Learn more about the equation of the line here:

https://brainly.com/question/21511618

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