Question

Help me out please I still don’t under how to finish this

Answer 1

`y=-2x+14`

Step-by-step explanation

The general equation in slope-intercept form is

`\begin{gathered} y=mx+c \\ \text{Where;} \\ m\text{ is the slope} \\ \text{c is the y-intercept} \end{gathered}`

From the graph,

The coordinates of the first yellow point (x₁, y₁) = (4, 6)

The coordinates of the second yellow point (x₂, y₂) = (7, 0)

Now, slope, m =

`\begin{gathered} m=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1) \\ m=(0-6)/(7-4)=-(6)/(3) \\ m=-2 \end{gathered}`

The equation becomes y = -2x + c

To get c, use the coordiates (4, 6), substitute x = 4 and y = 6 into the above equation.

This implies

`\begin{gathered} 6=-2(4)+c \\ 6=-8+c \\ c=6+8 \\ c=14 \end{gathered}`

Therefore, the equation in slope-intercept form is

`y=-2x+14`