Question

What is the equation of the line?

Answer 1

Option C y =
`(1)/(2)` x + 2

Explanation:

Given line in the graph passes through two points ( -4, 0 ) and ( 0, 2 ).

We have to find the equation of the line.

Equation of this line will be in the form of y = m x + c

Where c is the y-intercept equal to 2. and m is the slope.

Since
`m=(y - y')/(x - x')`

`m=((2-0))/((0+4))`

=
`(2)/(4)`

m = =
`(1)/(2)`

So the equation will be y =
`(1)/(2)`x + 2

Option C is the answer.

Answer 2

this has a y intercept of +2

the line goes up 1 to the right 2 so m = 1/2

the equation of a line in slope intercept form is

y = mx+b

y = 1/2 x + 2