SOLUTION: I need help with this problem. It is an writing assignment. Write an equation of the line passing through (5,0) and parallel to the line y= 5x-2. Thanking you in advance

Question 111907: I need help with this problem. It is an writing assignment.
Write an equation of the line passing through (5,0) and parallel to the line y= 5x-2.
Thanking you in advance
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The first thing to realize is that lines are parallel if and only if their slopes are equal. Conveniently, the given line is already in slope-intercept form , so we can tell directly that the slope of the desired line is 5.

Knowing the slope of a line and a point that is not a y-intercept, we can use the point-slope form of a line to derive the desired equation:

Now all we have to do is plug in the x and y values from the given point to obtain:

, and then simplify:

Note that the answer checks because the derived line and the given line have equal slopes, therefore they are parallel, and if you substitute 5 (the x-coordinate of the given point) into the derived equation, you get y=0, (the y-coordinate of the given point).
RELATED QUESTIONS
Hi, can you help me with this? i. Find an equation of the line that passes through the (answered by Maths68)

I need help with this problem, I have been trying to figure it out but im stumped. This... (answered by stanbon)

I need help writing an equation of the line passing through (3,-9) and parallel to the... (answered by htmentor)

Write an equation of the line passing through (5, 0) and parallel to the line y = 5x � 2. (answered by checkley75)

Write an equation of the line passing through (5, 0) and parallel to the line y = 5x �... (answered by Alan3354)

Graph the open sentence. I need help with this. Thank you. Determine an equation in... (answered by Alan3354)

I need help on this questions! Find an equation of the line that passes through the... (answered by Edwin McCravy)

I need help with this problem. I'm not understanding what it is I should do. Write the (answered by stanbon,bucky)

Can I have some help finding an equation of the line through (0, 9) and parallel to the... (answered by iluvbuilding429)