Write an equation for the line that is parallel to the given line and passes through the given point. y = 5x + 7; (3, 18)
A. y = 1/5x + 3
B. y = 5x + 3
C. y = -1/5x -3
D. y = -5x + 3

Question

Write an equation for the line that is parallel to the given line and passes through the given point. y = 5x + 7; (3, 18)
A. y = 1/5x + 3
B. y = 5x + 3
C. y = -1/5x -3
D. y = -5x + 3

mellamokatie · Answer

@sweetburger

sweetburger · Answer

THeres a little trick for this problem. Parallel lines will always have the same slope.

The slope of the line given in the original question is 5.

So their is only one answer choice with a slope of 5. Maybe you can spot it?

sweetburger · Answer

there* not their

sweetburger · Answer

Remember that each answer is in the slope intercept form of y=mx+b.
m represents the slope of the line.

mellamokatie · Answer

wait so what do you mean about 5?

sweetburger · Answer

Ok the so question wants us to make a parallel line to the original line y=5x+7. In the equation y = 5x+7, 5 is equal to the slope.

sshayer · Answer

any line parallel to ax+by=c is 
ax+by=k where k is a constant.
find k from the given condition.
Then replace the value of k.