Question

A line is parellel to y=3x+2 and intersects the point (2,9). What is the equation of this parellel line

Answer 1

y=3x+3

Explanation:

(2,9)

x=2

y=9

-Slot these numbers into the equation y=mx+c

-Solve for c

y=3x+c

9=3(2)+c (We have substituted y for 9 and x for 2)

-Solve

9=6+c

(rearrange)

c+6=9

c=9-6

c=3

We have found our y-intercept (c)

Add this value into the original equation (replace the other y-intercept with your new value)

y=3x+3

Answer 2

Answer: y= -3x

Explanation:

Use the slope-intercept form to find the slope.

m = −3

To find an equation that is parallel to y = −3x + 2, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

(0,0)

m = −3

Using the point-slope form

y − y1 = m (x − x1), plug in

m = −3, x1 = 0, and y1 = 0.

y − (0) = (−3) (x−(0))

Solve for y

y = −3x