SOLUTION: find a linear function whose graph has a slope = -3 and a y intercept of (0, -5)

Question 127321: find a linear function whose graph has a slope = -3 and a y intercept of (0, -5)
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 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 a linear function whose graph has a slope=-3 and a y-intercept of... (answered by tutorcecilia)

Find a linear function whose graph has slope 5 and y-intercept... (answered by Edwin McCravy)

i need to find a linear function whose graph has a slope of -8 and y intercept... (answered by checkley77)

A linear function has the same y-intercept as x+4y=12 and its graph contains the point... (answered by ewatrrr)

need help urgent! write the linear function whose graph has the given slope (m) and... (answered by Alan3354)

write a rule for the linear function whose graph has a slope m= -1/3 and a y-intercept... (answered by moshiz08,CharlesG2,solver91311)

Identify the equation whose graph has a slope of 5 and a y-intercept of... (answered by uma)

identify the equation whose graph has a slope of 5 and a y-intercept of... (answered by QH)

dentify the equation whose graph has a slope of 2 and a y-intercept of... (answered by checkley75)