SOLUTION: Give the equation of the line that passes through point (-5, -1) and is parallel to the line y= -1/4x-7. Please help I am trying to work this problem and I do not remember how t

Question 309695: Give the equation of the line that passes through point (-5, -1) and is parallel to the line y= -1/4x-7.
Please help I am trying to work this problem and I do not remember how to work it.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

We can see that the equation has a slope and a y-intercept .

Since parallel lines have equal slopes, this means that we know that the slope of the unknown parallel line is .
Now let's use the point slope formula to find the equation of the parallel line by plugging in the slope and the coordinates of the given point

.

Start with the point slope formula

Plug in , , and

Rewrite as

Rewrite as

Distribute

Multiply

Subtract 1 from both sides.

Combine like terms. note: If you need help with fractions, check out this solver.

So the equation of the line parallel to that goes through the point

is .

Here's a graph to visually verify our answer:
Graph of the original equation (red) and the parallel line (green) through the point

.

RELATED QUESTIONS
give the equation of the line that passes through point (-5,-1) and is parallel to the... (answered by Fombitz)

Please help me : Find the standard form of the equation of the line that passes through... (answered by stanbon)

Write an equation of the line that passes through (-5, -1) and is parallel to the line y... (answered by Cromlix)

Write the equation for the line that has a slope of -4 and passes through the point (0,... (answered by Alan3354)

I am having a dog of a time trying to solve these problems, please help me. Write the... (answered by scott8148)

Write the equation of a line that passes through the point (1,-3) and is parallel to the (answered by Fombitz)

Find the equation of the line that passes through the point (5,4), and that is parallel... (answered by stanbon)

Give the equation of the line that passes through point ( 1, -3) and is parallel to the... (answered by Fombitz)

Write in slope-intercept form the equation of the line that is parallel to the line y =... (answered by Fombitz)