SOLUTION: Write the equation of the line with slope 2 and y-intercept (0, �4).

Question 111292: Write the equation of the line with slope 2 and y-intercept (0, �4).
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

Distribute

Multiply and to get

Subtract 4 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
Write the equation of the line with given slope and y-intercept. Then graph each line... (answered by funmath)

Write the equation of the line with the given slope and y-intercept. slope: -2 y... (answered by MathLover1)

Write the equation of the line with slope �2 and y-intercept (0, 0). (answered by funmath)

Write the slope-intercept equation for the line with slope -1/4 and y-intercept (0,... (answered by dfrazzetto)

Write the equation of the line with given slope and y-intercept. Then graph each line... (answered by checkley71)

Write the equation of the line with given slope and y-intercept. Then graph each line... (answered by 303795)

Write the equation of the line with given slope and y-intercept. Then graph each line... (answered by funmath)

Write the equation of the line with given slope and y -intercept. Then graph each line... (answered by Septimus314)

Write the equation of the line with given slope and y -intercept. Then graph each line... (answered by checkley75)