Question

Write an equation of a line in point slope form that has a slope of -3 and passes through the point
(3, -4).

Answer 1

\[y-y_1=m(x-x_1)\]

Answer 2

use the point slope form

Answer 3

plug in x1,y1 to (3,-4) and m which is the slope is -3

Answer 4

You can Get it By this EXAMPLE....
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)


Distribute

Multiply and to get



Add 2 to both sides to isolate y

Combine like terms and to get
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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.