Consider the point p = (3,8) and the line l, given by the equation y = 3x -4.

A parallel y = 3x-1

B perpendicular y = -1/3x+9

Step-by-step explanation:

y = 3x-4 is written in slope intercept form  (y=mx+b) so the slope is 3.

A.  If the lines are parallel they have the same slope

m parallel is 3

Using point slope form

y-y1 = m(x-x1)

y-8 = 3(x-3)

Distribute

y-8 = 3x-9

Add 8 to each side

y-8+8 = 3x-9+8

y = 3x-1

This is slope intercept form

B If we want perpendicular lines, the slope is the negative reciprocal

m perpendicular is -(1/3)  = -1/3

Using point slope form

y-y1 = m(x-x1)

y-8 = -1/3(x-3)

Distribute

y-8 = -1/3x+1

Add 8 to each side

y-8+8 = -1/3x+1+8

y = -1/3x+9

This is slope intercept form

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3