Question

In the linear function F
F(0)=2
F(-6)=0

What is the equation of F?

F(x)=
3
1
​
x−6

F(x)=
3
1
​
x+2

F(x)=3x−6

F(x)=3x+2

Answer 1

To find the equation of the linear function F, we need to find the slope (m) and the y-intercept (b) using the given information.

Since F(0) = 2, we know that the y-intercept is 2. Thus, b = 2.

To find the slope, we can use the two given points (0, 2) and (-6, 0).

The slope (m) is given by the formula:
m = (y2 - y1) / (x2 - x1)

Using the points (0, 2) and (-6, 0), we have:
m = (0 - 2) / (-6 - 0) = -2 / -6 = 1/3

So the slope is 1/3.

Therefore, the equation of F is:
F(x) = 1/3x + 2