A line is parellel to y=3x+2 and intersects the point (2,9). What is the equation of this parellel line
2 answers:
Answer: y= -3x
Step-by-step 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
Answer:
y=3x+3
Step-by-step 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
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