Question

Use the graph to write a linear function that relates y to x

Answer 1

f(x) = -4
`x` - 2 or y = -4
`x` - 2

Explanation:

In this question, you should use the graph to write the function/equation in slope intercept form.

y = mx + b where m is the slope and b is the y intercept

To calculate the slope, you can use rise/run between any two points. I will use the points (-2, 6) and (0, -2). In these points, the "rise" would be -8 as that is the number of units they are away from each other vertically. It is negative because the line obviously has a negative slow as it is travelling from up to down. The run in this case would be 2 as that is the distance the two points are away from each other horizontally.

Then, substitute.

`(-8)/(2)` = -4, so m = -4

Now we will find the b value.

B is the y-intercept, or what the y value of the coordinate of the point that the line touches the y-axis. The coordinate is (0, -2). Therefore, the b value is 2.