Question

I really need to take notes and to study so I really need to go o we this lessor and find my mistakes please help me

Answer 1

`y=(4)/(7)x+3`

Explanation:

We can calculate the equation of the line using the two blue dots.

The equation in its slope-intercept form is as follows:

`\begin{gathered} y=mx+b \\ \text{ where m is the slope and b is y-intercept} \end{gathered}`

To calculate the slope, we need to identify the blue points that would be: (0, 3) and (7, 7)

We calculate the slope as follows:

`m=(y_2-y_1)/(x_2-x_1)=(7-3)/(7-0)=(4)/(7)`

We already know the y-intercept because it is explicit in the graph and it is (0,3), therefore b is 3, we substitute and the equation would be:

`y=(4)/(7)x+3`