Write the equation of the line that is parallel to 5x - 2y =16 and passes through (10,5). Group of answer choices

A. y =5/2x -30

B. y = 5/2x -20

C. y = -2/5x -15

D. y = -2/5x +30

B

Step-by-step explanation:

Parallel lines have same slope. Parallel means to never intersect. So if something has to not intersect, they must have similar slopes but from a different starting position.

So Parallel Lines have similar slopes.

So using the given equation let manipulate this expression to find our a slope. This looks like a linear equation in the form of Ax+By=C (standard form). So let isolate this to y=mx+b because the latter is slope intercept form, which gives us our slope which is m.

We need to get it to look like

So we need to isolate our y value.

In order to do this, we do basics of Algebra

So our slope of the original line is 5/2. So our new Parallel lines must have this slope as well. Our new line also passes through 10,5 so since we have a point and a slope we use point slope form

where m is our slope and (x1,y1) is our given point.

Subsitue

Add 5 to both sides

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: