Question
The table represents some points on the graph of a linear function. Write a function that represents this relationship.
x: -4 -2 6
y: 10 7 -5
x: -4 -2 6
y: 10 7 -5
Answers
GPT 3.5
To find the linear function that represents this relationship, we first need to find the slope of the line using two of the points given. Let's use the points (-4, 10) and (6, -5).
Slope (m) = (y2 - y1) / (x2 - x1)
= (-5 - 10) / (6 - (-4))
= -15 / 10
= -1.5
Now that we have the slope, we can use one of the points to find the y-intercept. Let's use the point (-4, 10).
y = mx + b
10 = -1.5(-4) + b
10 = 6 + b
b = 4
So the linear function that represents the relationship is:
y = -1.5x + 4
Slope (m) = (y2 - y1) / (x2 - x1)
= (-5 - 10) / (6 - (-4))
= -15 / 10
= -1.5
Now that we have the slope, we can use one of the points to find the y-intercept. Let's use the point (-4, 10).
y = mx + b
10 = -1.5(-4) + b
10 = 6 + b
b = 4
So the linear function that represents the relationship is:
y = -1.5x + 4