Question

I inserted a picture of the question can you please list the answers as well

Answer 1

We want to find the equation of the line given in the graph

We can see the four points on the graph where the line pass through

The points are

`(4,4),(2,3),(0,2),(-4,0)`

We first obtain the slope (m)

The formula for finding the slope is given as

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

Using the points (0,2) and (-4,0) (indeed we can pick any two points, we will still obtain the same answer)

Here

`\begin{gathered} x_1=0 \\ y_1=2 \\ x_2=-4 \\ y_2=0 \end{gathered}`

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(0-2)/(-4-0) \\ m=(2)/(4) \\ m=(1)/(2) \\ m=0.5 \end{gathered}`

We can use any of the points above to find the equation

Equation of a line is given by

`y-y_1=m(x-x_1)`

Using (4,4)

`y-4=0.5(x-4)`

Option D is correct

Using (2,3)