Question

A. Y= -1/2x + 2B. Y= -2x + 2C. Y= - 2x - 2D. Y= -1/2x - 2

Answer 1

As we can see based on the graph, it is a linear relation. Therefore, the equation will have the form:

`y=mx+b`

where m is the slope and b is the y-intercept.

To know those values, we have to choose two coordinates of the graph given. As an example, I will choose:

• Point 1: ,( -1, 4 )

,

• Point 2: ,( 2, -2 )

However, you can choose any two coordinates you want to as long as they are part of the line.

Procedure:

0. Calculating the slope:

`m=\frac{y_2-y_1}{x_{2_{}}-x_1}`

Replacing the values with the coordinates chosen:

`m=\frac{(-2)-(4)_{}}{(2)_{}_{}-(-1)_{}}`
`m=\frac{-2-4_{}}{2_{}+1}=(-6)/(3)`
`m=-2`

With the slope calculated, we can now proceed to calculate the intersection with y-axis by replacing one of the points in the equation:

`y=mx+b`

Replacing the values of Point 1:

`4=-2(-1)+b`
`4=2+b`
`b=4-2`
`b=2`

Answer: B.

`y=-2x+2`