Write an equation in point-slope form for the line through the given point with the given slope.

(5, 2); m = 3

Question

Write an equation in point-slope form for the line through the given point with the given slope.

(5, 2); m = 3

rose4825 · Answer

Alright. Let's first determine the equation for point-slope form. Do you know what it is?

rose4825 · Answer

The point slope form is $$y - y _{1} = m(x - x _{1})$$

rose4825 · Answer

You need one set of coordinate points and the value for slope for point slope form.
Your coordinate points are (5, 2) and your slope is 3.

$$y _{1} = 2$$ and $$x _{1} = 5$$
the "m" is the same thing as slope. So since m = 3, your slope will also equal 3 (since they are the same thing).

Now you have to plug everything in:
$$y - 2 = m(x - 5)$$