Question

What does the slope and y-intercept mean?

A. The slope of 2 tells how much the arm span increases for each 1 in. increase in height.
The y-intercept is 0 in. and gives the arm span when the height is 0 in.

B. The slope of 1 tells how much the arm span increases for each 1 in. increase in height.
The y-intercept is 45 in. and gives the arm span when the height is 45 in.

C. The slope of 45 tells how much the arm span increases for each 1 in. increase in height.
The y-intercept is 45 in. and gives the arm span when the height is 45 in.

D. The slope of 1 tells how much the arm span increases for each 1 in. increase in height.
The y-intercept is 0 in. and gives the arm span when the height is 0 in.

Answer 1

The answer is D.

You can determine the slope by knowing that it's the distance of y over the distance of x. Look at the line, and you can tell that for every line up, it is also every line right, meaning the slope is 1.


The y-intercept is (0,0) as can be told from the graph as well.

Answer 2

The slope and y-intercept mean: D. The slope of 1 tells how much the arm span increases for each 1 in. increase in height.

The y-intercept is 0 in. and gives the arm span when the height is 0 in.

In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:

y = kx

Where:

• y represents the y-variable or arm span (in)​.
• x represents the x-variable or height (in).
• k is the constant of proportionality.

Next, we would determine the constant of proportionality or slope (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 45/45

Constant of proportionality, k = 1.

Therefore, the required linear equation that represents the proportional relationship is given by;

y = kx

y = x

Since the graph of this line pass through the origin (0, 0), its y-intercept must be zero (0).