2. How the Slope & Y-Intercept Effect a Line Ms. Mankel Algebra

3. What Happens to the Slope? The steepness, or slant, of a line is called the slope. Use the website and think about it… What happens to the line when the slope increases? What happens to the line when the slope is a fraction? Explore Explore

4. Let’s Compare Slopes Click here - Scroll down to ‘Slippery Slopes’ Write down 3 things you notice.

5. Remember Writing Equations? The type of equation we were writing was called Slope-Intercept Form. y=mx+b, m is the slope b is the y-intercept

6. More About Slope-Intercept Form Recall that the y-intercept is where the line intercepts, or crosses, the y-axis (vertical) This also happens to be the value of y when x=0 Recall that slope is the steepness of the line.

7. Let’s Play with the Numbers How does changing the m value (slope) change the way the line looks? How does changing the b value (y-intercept) change the way the line looks? Explore Scroll down to ‘Interactive Slope Intercept From

8. What about Positive Slope? Notice that when the slope, m, is positive, the line slants _______ to the right. The more positive m is, the _______the line will slant upward to the right.

9. What about Negative Slope? When the slope is negative, the line slants _________ to the right, and, as the slope becomes more and more negative, the line will slant downward __________ to the right.

10. When the y-intercept, b, is positive, the line crosses the y-axes ______ y = 0. When b is negative, the line crosses the y-axis somewhere ______ y = 0. What about b (y-intercept)?

11. 3.5 Slope To determine if slope is positive or negative, look at the line from left to right (just like you read). Down …negative. UP…positive.

12. Find Slope from a Graph Choose two points Starting with the point located farther left, you will travel to the point farther right. You MUST travel in a ‘L’ shape. First travel up or down, then travel right or left. Let’s see someone do that. Scroll down to the graphs

13. Formula for Slope A way to remember which value goes on top. 2 Y 1 -Y-Y 2 X 1 - X Keep the pairs together.

14. Understand??? Let’s work on a few problems to see if we understand.