Katie is biking to the beach. the graph gives her distance from the beach x hours after she began riding.

1. what does the x-intercept mean?

2. what does the y-intercept mean?

(examine the labels on the horizontal and vertical axes).

3. find the slope of the line using the slope formula. show all work. what does the slope represent in this problem? use a complete sentence to answer.

Step-by-step explanation:

The graph is a plot of distance in kilometers on the vertical axis against time, in hours on the horizontal axis.

1) The x-intercept is the point on the horizontal axis at which y = 0. This means that at this point, the distance from the beach to her house is zero. From the graph, the point is 6 hours.

2) The y-intercept is the point on the vertical axis at which x = 0. This means that this point is the point at which she started to ride. At this point,time = 0 hours and the distance from the beach to her house is 75 kilometers.

3) slope is expressed as

Change in y / change in x

We will pick 2 points on the y axis and two corresponding points on the x axis.

Change in y = y2 - y1

Change in x = x2 - x1

Slope = (0-75) / (6 - 0) = -75/6

Slope = - 12.5 kilometers per hour

The slope represents the rate at which her distance from the beach changes with time. It represents her velocity. It is negative because her distance from the beach is decreasing with time

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!