ANSWER:
H) y =- 2/3x + 4
STEP-BY-STEP EXPLANATION:
We have that the function in its slope and intercept form has the following form:
[tex]\begin{gathered} y=mx+b \\ \\ \text{ m is the slope and b is the y-intercept} \end{gathered}[/tex]
We can calculate the slope using the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We selecting the points (0, 4) and (6,0), replacing:
[tex]m=\frac{4-0}{0-6}=\frac{4}{-6}=-\frac{2}{3}[/tex]
The intercept with and we can determine the graph and is 4, therefore the equation would be:
[tex]y=-\frac{2}{3}x+4[/tex]
Therefore, the correct option is H) y =- 2/3x + 4
