Question

I'm not good with graphs so I really need help solving and understanding this

Answer 1

4x + 3y = -24 (option D)

Step-by-step explanation:

To determine the orrect option, we would find the equation of the line.

Equation of line: y = mx + c

m = slope, c = y-intercept

Using the slope formula:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`

We would use any two points on the graph.

Using points: (-6, 0) and (0, -8)

`\begin{gathered} x_1=-6,y_1=0,x_2=0,y_2\text{ = -}8 \\ m\text{ = }(-8-0)/(0-(-6)) \\ m\text{ =}(-8)/(0+6)=(-8)/(6)=-(4)/(3) \end{gathered}`

The y intercept is the point where the line crosses the y axis and the value of x is zero. It crosses the line at y = -8

The equation of line becomes:

y = -4/3 x + (-8)

y = -4/3x - 8

Multiply both sides by 3:

3(y) = 3(-4/3 x) - 3(8)

3y = -4x - 24

3y + 4x = -24

4x + 3y = -24 (option D)