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
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