Question

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

Answer 1

ANSWER:

$y=-\frac{4}{7}x+6$

STEP-BY-STEP 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:

$y=\frac{y_2-y_1}{x_2-x_1}=\frac{2-6}{7-0}=-\frac{4}{7}$

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:

$y=-\frac{4}{7}x+6$