Question

Based on the graph of the line below, which describes the relationship between the value of the y-intercept and the

value of the slope?
10
oc
6
4
2
2
-10 -3 -4 -22
4
B
х
8 10
6
28
10

Answer 1

y intercept = 3

`m = (1)/(3)` --- slope

Explanation:

Given

The attached graph

Required

Determine the slope and the y intercept

The
`y\ intercept` is at the point where
`x = 0`.

From the graph:

`y = 3;\ when\ x = 0`

Hence,

y intercept = 3

Next, we calculate the slope using:

`m = (y_1 - y_2)/(x_1 - x_2)`

Where:

`(x_1,y_1) = (0,3)`

`(x_2,y_2) = (9,6)`

So, we have:

`m = (3 - 6)/(0 - 9)`

`m = (-3)/(- 9)`

`m = (3)/(9)`

`m = (1)/(3)`