Question

Which of the following shows the graph of a line through (–2,2) and (2,4)?

Answer 1

I cant see the numbers on the graphs very well...but it looks to be the second graph

Answer 2

The graph of the line in the attached figure

Explanation:

step 1

Find the slope of the line

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have

`A(-2,2)\ B(2,4)`

Substitute the values

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

`m=(2)/(4)=0.5`

The equation of the line into slope-point form is equal to

`y-y1=m(x-x1)`

`y-4=0.5(x-2)`

`y=0.5x-1+4`

`y=0.5x+3`

The slope of the line is positive
`m=0.5`

The y-intercept is the point
`(0,3)`

The x-intercept is the point
`(-6,0)`

Plot the intercepts to graph the line

The graph of the line in the attached figure