Line and point v are shown on the graph.
line is to be drawn on the graph such that it is perpendicular to line . if the coordinates of point w are (–1, y), what is the value of y?

The y-coordinate of point W is

Step-by-step explanation:

Step 1

Fin the slope of the line ST

we know that

The formula to calculate the slope between two points is equal to

we have

Substitute the values

Step 2

Find the slope of the line WV

we know that

If two lines are perpendicular, then the product of their slopes is equal to minus one

so

------->

we have

substitute the value and solve for mWV

Step 3

Find the equation of the line WV into slope-intercept form

we have

 -------> see the graph Point V is the y-intercept of the line WV

substitute

Step 4

Find the y-coordinate of the point W

Substitute the the values of x and y of point W in the linear equation

therefore

the y-coordinate of point W is

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

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step-by-step explanation:

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