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Warm Up

Warm Up. Given h(x) = find the following:. h(-8) What value of x would make h(x) = 7? What value of x would make h(x) = -3?. HW Check – 4.1. Slope of a line. What is the meaning of this sign?. Icy Road Ahead Steep Road Ahead Curvy Road Ahead

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Warm Up

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  1. Warm Up Given h(x) = find the following: h(-8) What value of x would make h(x) = 7? What value of x would make h(x) = -3?

  2. HW Check – 4.1

  3. Slope of a line

  4. What is the meaning of this sign? • Icy Road Ahead • Steep Road Ahead • Curvy Road Ahead • Trucks Entering Highway Ahead

  5. 100 feet 7 feet 7% What does the 7% mean? 7% is the slope of the road. It means the road rises 7 feet vertically for every 100 feet horizontally. So, what is the meaning of slope??? Slope is the steepness of a line.

  6. 1) Determine the slope (rate of Change) of the line. When given the graph, it is easier to apply “rise over run”. Rise – is the vertical change. Run – is the horizontal change.

  7. Find the slope: 2) 3)

  8. Slope can be expressed different ways: ****Slope is the same as rate of change**** A line has a positive slope if it is going uphill from left to right. A line has a negative slope if it is going downhill from left to right.

  9. 2) Find the slope (rate of change) of the line that passes through the points (-2, -2) and (4, 1). When given points, it is easier to use the formula!

  10. Find the slope (rate of change) of the line that passes through (3, 5) and (-1, 4).

  11. You try! • Find the slope of the line that goes through the points (-5, 3) and (2, 1).

  12. What is the slope of a horizontal line? H0y The line doesn’t rise! All horizontal lines have a slope of 0.

  13. What is the slope of a vertical line? VuX The line doesn’t run! All vertical lines have an undefined slope.

  14. VuXand H0y VuX: Vertical lines have undefined slope with an equation x = a number. HOy: Horizontal lines have zero as their slope with an equation y = a number.

  15. Draw a line through the point (2,0) that has a slope of 3. 1. Graph the ordered pair (2, 0). 2. From (2, 0), apply rise over run (write 3 as a fraction). 3. Plot a point at this location. 4. Draw a straight line through the points.

  16. Homework: 4.2 Quiz Friday!

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