Question

Given the following graph of a line, identify the matching equation option g and h are not picturedG) Y=-3/2x+4 H) Y=-2/3x+4

Answer 1

H) y =- 2/3x + 4

Explanation:

We have that the function in its slope and intercept form has the following form:

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

We can calculate the slope using the following formula:

`m=(y_2-y_1)/(x_2-x_1)`

We selecting the points (0, 4) and (6,0), replacing:

`m=(4-0)/(0-6)=(4)/(-6)=-(2)/(3)`

The intercept with and we can determine the graph and is 4, therefore the equation would be:

`y=-(2)/(3)x+4`

Therefore, the correct option is H) y =- 2/3x + 4