To determine the linear equation for the given table, we need to find the slope (m) and the y-intercept (b).
First, we need to find the slope (m):
m = (change in y) / (change in x)
For the points (4, -7) and (8, -21):
m = (-21 - (-7)) / (8 - 4)
m = (-21 + 7) / 4
m = -14 / 4
m = -3.5
Now, we have the slope (m = -3.5). Next, we need to find the y-intercept (b).
Using the point (4, -7) and the slope m = -3.5 in the equation y = mx + b, we can solve for b:
-7 = (-3.5)(4) + b
-7 = -14 + b
b = -7 + 14
b = 7
Therefore, the linear equation in the form of y = mx + b for the given table is:
y = -3.5x + 7
Write a linear equation in the form of y = mx + b for the following table.
4 -7
8 -21
12 -35
1 answer
1 answer