Line ST and point V are shown on the graph. Line WW is to be drawn on the graph such that it is perpendicular to line ST. If the coordinates of point Ware (-1, y), what is the value of y?
-5
2
3
-7

Line ST and point V are shown on the graph Line WW is to be drawn on the graph such that it is perpendicular to line ST If the coordinates of point Ware 1 y wha class=

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Answer:

3

Step-by-step explanation:

We can use the formula of slope to find this answer.

The formula to find the slope is y2-y1/x2-x1.

The slope of line ST is 1/5: 2-0/5-(-5);   2/10=1/5

We know that for two lines to be perpendicular, they have to have reciprocal opposite slopes. For example, if the slope of a line is 2/1 then the slope of a line perpendicular is -1/2.

Therefore, the perpendicular line should have a slope of: 1/5------>-5

To find which answer it is, follow the steps below:

y2-y1/x2-x1

plugin known values

-2-y1/0-(-1)

-2-y1/1

In order to make this -5, y1 needs to be 3

-2-3/1=-5

3 is the correct value

The value of y is 3.

What is slope?

The slope of a line is a measure of its steepness.

Given:

Ware( -1, y)

Now,

slope of line ST =2-0/5-(-5)

slope=1/5

As two lines to be perpendicular, they have to have reciprocal opposite slopes.

Thus, the perpendicular line slope =-5

Now, y2-y1/x2-x1

= -2-y1/0-(-1)

= -2-y1/1

= -2-3/1

=-5

hence, the value of y is 3.

Learn more about slope here:

https://brainly.com/question/3605446

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