the ? below finding slope and y intercept

Question

a sky diver parachutes to the ground the height y in feet of the sky diver after x seconds is y=10x+3000

a. graph the equation

b.intercept the x and slope

 

how do you graph this?????????????

Answer 1

Hi Shyanne;

The equation is in slope-intercept form...

y=mx+b

m is the slope.

b is the y-intercept, the value of y when x=0.

y=10x+3000

 

Slope is 10.  Slope is the change-of-y divided by the change-of-x...

(y-y₁)/(x-x₁)

This is also known as rise-over-run.

 

y-intercept is 3000.  The point where the line crosses the y-axis is (0,3000).  At the time of zero seconds, the sky-diver is at 3,000 feet.

 

When graphing this, the y-axis is the height.  The x-axis is the seconds.  The first point is at (0,3000).  The value of x is 0, the value of y is 3000.

 

Beginning with this point, the line will rise 10 units of length in feet as it runs to the right 1 unit of time in seconds.  As you can see, slope of 10 should be -10 because the sky-diver is jumping down, loosing height, not up.

y=-10x+3000

 

The line will NOT move to the left of the y-axis because there is NO such thing as negative height.

The line will NOT move below the x-axis because there is NO such thing as negative time.