Write the equation of a line in slope-intercept form that is parallel to the line y = 3x +2 and passes through the point (5, 2).
A. y = 3x – 5
B. y = 3x – 13
C. y = 3x – 1
D. y = 3x + 2

Question

Write the equation of a line in slope-intercept form that is parallel to the line y = 3x +2 and passes through the point (5, 2).
	A.	y = 3x – 5
	B.	y = 3x – 13
	C.	y = 3x – 1
	D.	y = 3x + 2

anonymous · Answer

If its parallel to y=3x+2 that means it has the same slope, can you pick out what the slope is from that equation?

anonymous · Answer

D

anonymous · Answer

No, the slope is 3. The equation is in the form y=mx+b where m is slope and b is the y intercept. Parallel lines have the same slope. 

so since we have the slope now and a point, we can do slope point form

y-2=3(x-5)
y-2=3x-15
y=3x-13