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A skydiver parachutes to the ground. The height y (in feet) of the skydiver after x seconds is y = −10x + 3000.
a) Graph the equation.
b) Interpret the x-intercept and the slope.

Respuesta :

Answer:

Step-by-step explanation:

To graph the equation of line, we need to find the intercepts:

1) To find x-intercept: put y = 0

0 = -10x + 3000

Solving for x:

10x = 3000

x = 3000/10 = 300

A( 300, 0)

2) To find y intercept: put x = 0

y = -10(0) + 3000

y = 3000

B(0,3000)

Now plotting line through these two points gives the graph.

3) To find the slope of the equation:

Using two point form:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{0-3000}{300-0}[/tex]

m = -10

Please see the attached file for graph:

Ver imagen hondeashok12
raphealnwobi

The x-intercept is at point A(0, 300) and the slope is -10.

A linear equation is in the form:

y = mx + b;

Where y, x are variables, m is the slope and b is the y intercept.

The graph of y = − 10x + 3000 was plotted using geogebra online graphing.

From the graph, the x-intercept is at point A(0, 300) and the slope is -10.

Find out more at: https://brainly.com/question/635560

Ver imagen raphealnwobi

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