Question

Given this graph, please write and label the slope and the y-intercept for this line. Then write your answer in slope intercept form: y = mx + b

Answer 1

In order to find the slope and y-intercept of this graph, let's use some points that are on the line.

We have the point (0, 0) as a solution of the equation, which means the y-intercept is 0.

(The y-intercept is the value of y when x = 0).

Now, to find the slope, we can use the formula below with the points (0, 0) and (10, 5):

`m=(y_2-y_1)/(x_2-x_1)=(5-0)/(10-0)=(5)/(10)=(1)/(2)`

Therefore the slope is m = 1/2 and the y-intercept is b = 0, so the equation is:

`y=(1)/(2)x`