Question

Please help me out I need to review this and check where I messed up

Answer 1

`y=-(4)/(7)x+6`

Explanation:

We have a linear equation has the following form:

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

We must identify the coordinates of the yellow points in order to calculate the slope value, the points are (0, 6) and (7, 2). We calculate the slope as follows:

`y=(y_2-y_1)/(x_2-x_1)=(2-6)/(7-0)=-(4)/(7)`

Now, the value of b we see explicitly in the graph because the y-intercept is (0.6), therefore the value of b is 6, the equation would be:

`y=-(4)/(7)x+6`