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

a. write an equation in slope-intercept of the line passing through p and parallel to line l.

b. write an equation in slope-intercept of the line passing through p and perpendicular to line l.

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

step-by-step explanation:

consider an orange peel: if you want to try and lay it flat, you have to stretch it, we know exactly how things are being stretched or squashed at any given point. we have many different map projections because each has different patterns of some projections can even preserve certain features of the earth without

where is the picture

step-by-step explanation: