Answer:
Step-by-step explanation:
If these 3 points are collinear, then we can find the slope of the linear function using any 2 of those points. Suppose we use (-4, 3) and (0, 1):
As we move from (-4, 3) to (0, 1), x increases by 4 and y decreases by 2. Hence, the slope of this lilne is m = rise/run = -2/4, or m = -1/2.
Using the slope-intercept formula y = mx + b and replacing y with 1, x with 0 and m with -1/2, we get:
1 = (-1/2)(0) + b, or b = 1. Then the desired equation is y = f(x) = (-1/2)x + 1
Answer: explain the meaning of
Step-by-step explanation:
We don't know whether those two sides are both legs
of the right triangle, or if BC is the hypotenuse.
If AC and BC are both legs, then
AB = √ (AC² + BC²)
= √ (7² + 8²)
= √ (49 + 64) = √ 113 .
If BC is the hypotenuse of the right triangle, then
AB = √ (BC² - AC²)
= √ (8² - 7²)
= √ (64 - 49) = √ 15 .
