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Check it out!. A top fuel dragster (a car built for drag racing) can travel

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check it out
Check it out!

4.3.1: Interpreting Slope and y-intercept

slide2

A top fuel dragster (a car built for drag racing) can travel

mile in 4 seconds. The dragster’s distance over time is graphed on the next slide. The graph assumes a constant speed. Use the graph to complete problems 1 and 2. Then use what you know about slope-intercept form to answer the remaining questions.

4.3.1: Interpreting Slope and y-intercept

slide4

Find the slope and y-intercept of the function shown in the graph.

Write the algebraic equation of the line.

What is the slope of a line with the equation y = –x + 7?

What is the y-intercept of a line with the equation

y= 3x – 2?

4.3.1: Interpreting Slope and y-intercept

slide5

Find the slope and y-intercept of the function shown in the graph.

The slope is or . To calculate the slope, find any two points on the line.

The graph shows that (0, 0) and (16, 1) are both points on the line. The formula to find the slope between two points (x1, y1) and (x2, y2) is . Substitute (0, 0) and (16, 1) into the formula to find the slope.

4.3.1: Interpreting Slope and y-intercept

slide6

The slope between the two points (0, 0) and (16, 1) is 16.

The y-intercept is the point at which the graph crosses the y-axis. The graph shows that the y-intercept is 0, or (0, 0).

4.3.1: Interpreting Slope and y-intercept

slide7

Write the algebraic equation of the line.

The equation of a line can be written in the form y= mx + b, where m is the slope of the line and b is the y-intercept. The equation of the line is y= 16x + 0 or y = 16x.

4.3.1: Interpreting Slope and y-intercept

slide8

What is the slope of a line with the equation

y= –x + 7?

If the equation of a line is in the form y = mx + b, m is the slope of the line.

The slope of the line y = –x + 7 is –1.

4.3.1: Interpreting Slope and y-intercept

slide9

What is the y-intercept of a line with the equation

y= 3x – 2?

If the equation of a line is in the form y = mx + b, then b is the y-intercept.

The y-intercept of y = 3x – 2 is –2, or the point (0, –2).

4.3.1: Interpreting Slope and y-intercept