To find the equation of the linear function, we need to find the slope and the y-intercept using the given points (-4, 10), (-2, 7), and (6, -5).
First, calculate the slope (m) using the formula:
m = (change in y) / (change in x)
For the points (-4, 10) and (-2, 7):
m = (7 - 10) / (-2 - (-4)) = -3 / 2 = -1.5
For the points (-2, 7) and (6, -5):
m = (-5 - 7) / (6 - (-2)) = -12 / 8 = -1.5
Since the slope is the same for both pairs of points, we can conclude that the function is a linear function.
Next, let's find the y-intercept (b) using the point (-4, 10):
10 = -1.5(-4) + b
10 = 6 + b
b = 4
Therefore, the equation of the linear function is:
y = -1.5x + 4
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
1 answer