Point-Slope Form.

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Presentation transcript:

Point-Slope Form

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!

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)

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)

¾ the line shown. Write an equation in point-slope form of Formula: y-y1 =m(x - x1) (2,3) Step 1: Find Slope ¾ 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)

¾ Than my neighbor??? What happens if I choose a different point Formula: y-y1 =m(x - x1) (2,3) Step 1: Find Slope ¾ 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)

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