Question

X: 2 4 5 30
Y 1 2 2.5 15

1) What is the slope in context?

2) What is the y-intercept in context?

3) What is the equation of the line?

Answer 1

1) The slope in this context represents the rate of change between the values of X and Y. It tells us how much Y changes for a given change in X. To calculate the slope, we can use the formula:

Slope = (change in Y) / (change in X)

Using the given values, we can calculate the slope as:

Slope = (2.5 - 1) / (5 - 4) = 1.5

Therefore, the slope in context is 1.5.

2) The y-intercept in this context represents the value of Y when X is equal to zero. To determine the y-intercept, we need to find the point on the line where X is equal to zero.

From the given values, we can see that when X is equal to 2, Y is equal to 4. When X is equal to 2, Y is equal to 2.

Since there is not a specific value of Y when X is equal to zero, we cannot determine the y-intercept in this context.

3) The equation of the line can be written in the slope-intercept form:

Y = mx + b

where m represents the slope and b represents the y-intercept. However, since we don't have a specific y-intercept value in this context, we cannot determine the equation of the line.