1. Point-Slope
Form

2. Point-Slope Form: Formula: y-y1 =m(x - x1)
Do you know how to figure this out?
Find slope.
Substitute (x1,y1) in above equation.
That’s IT! EASY PEESY, LEMON SQUEEZY!

3. Formula: y- y1 = m(x - x1) HOW TO FIGURE OUT Point Slope Form:
If they give you the slope and 2 points, then just substitute the numbers into the formula above.
A line passes through point 3,4 and a slope of ¾ .
y- y1 = m(x - x1) =
y- 4 = ¾ (x – 3)

4. Now let’s look at how to graph an equation in point-slope form:
Let’s take the point slope form answer from the last example: y- 4 = ¾ (x – 3)
You know that the slope is ¾ and passes through the point (3, 4)
Step 1: plot point (3,4).
Step 2: Use the slope to find second point, connect dots.
Formula: y-y1 =m(x - x1)

5. ¾ the line shown. Write an equation in point-slope form of
Formula: y-y1 =m(x - x1)
(2,3)
Step 1: Find Slope
Step 2: Pick a point and substitute it into the point slope equation.
(-2,0)
Step 3: Re-write the equation in point slope form.
(-2,0)

6. ¾ Than my neighbor??? What happens if I choose a different point
Formula: y-y1 =m(x - x1)
(2,3)
Step 1: Find Slope
Step 2: Pick a point and substitute it into the point slope equation.
(2,3)
Step 3: Re-write the equation in point slope form.
(-2,0)

7. Try on your own!
Write an equation in point-slope form of the line that passes through (2,3) and (4,4)