SOLUTION: find the equation of the line that goes through the given point and has the given slope. write the answer in slope-intercept form. (-1,-5), -8

Question 219616: find the equation of the line that goes through the given point and has the given slope. write the answer in slope-intercept form.
(-1,-5), -8
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If you want to find the equation of line with a given a slope of which goes through the point (,), you can simply use the point-slope formula to find the equation:

---Point-Slope Formula---
where is the slope, and

is the given point

So lets use the Point-Slope Formula to find the equation of the line

Plug in , , and (these values are given)

Rewrite as

Rewrite as

Distribute

Multiply and to get

Subtract 5 from both sides to isolate y

Combine like terms and to get
------------------------------------------------------------------------------------------------------------
Answer:

So the equation of the line with a slope of which goes through the point (,) is:

which is now in form where the slope is and the y-intercept is

Notice if we graph the equation and plot the point (,), we get (note: if you need help with graphing, check out this solver )

Graph of through the point (,)
and we can see that the point lies on the line. Since we know the equation has a slope of and goes through the point (,), this verifies our answer.
RELATED QUESTIONS
Find the equation of the line that goes through the given point and has the given slope.... (answered by stanbon)

Find the equation of the line that goes through the given point and has the given slope. (answered by bucky)

Find the equation of the line that goes through the given point and has the given slope.... (answered by nerdybill)

Find the equation of the line that goes through the given point and has the given slope. (answered by mananth)

Find the equation of the line that goes through the given point and has the given slope.... (answered by nerdybill)

Find the equation of the line that goes through the given point and has the given slope. (answered by stanbon)

Find the equation of the line that goes through the given point and has the given slope. (answered by stanbon,checkley71)

fund the equation of the line that goes through the given point and has the given slope.... (answered by Fombitz)

please please help (-1,-5),-8 find the equation of the line that goes through the... (answered by tutorcecilia)