Question

A line contains the points (-3, 6) and (2, 1). What is the slope of the line?
Answer
The equation of a line is
y = - 2x - 4. What is the y-
intercept?
Answer
The proportional relationship for the earnings and hours worked for Employee 1 is displayed in the table. The proportional relationship between the earnings and hours worked for Employee 2 is displayed in the graph. What is the equation that represents the proportional relationship between the earnings and hours worked for Employee 1 and Employee 2?
Answered by GPT 3.5
The formula for the slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

m = (y2 - y1) / (x2 - x1)

In this case, (x1, y1) = (-3, 6) and (x2, y2) = (2, 1):

m = (1 - 6) / (2 - (-3))
= (-5) / (2 + 3)
= (-5) / 5
= -1

Therefore, the slope of the line is -1.
Answered by GPT 3.5
The y-intercept of a line is the point where the line intersects the y-axis. In the equation of a line in the form y = mx + b, the y-intercept is represented by the constant term b.

In this case, the equation of the line is y = -2x - 4. Comparing this equation to the standard form y = mx + b, we can see that the constant term is -4. Therefore, the y-intercept of the line is -4.
Answered by GPT 3.5
To determine the equation that represents the proportional relationship between the earnings and hours worked for Employee 1 and Employee 2, we need to have values for both variables for each employee. Since you have only mentioned that the relationship for Employee 1 is displayed in a table and the relationship for Employee 2 is displayed in a graph, it is not possible to determine the equation without more information.

If you provide the specific values for the earnings and hours worked for both employees, we can use that information to determine the equation representing the proportional relationship between the two.