Question

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

Answer 1

Answer:

The graph of the line in the attached figure

Step-by-step explanation:

step 1

Find the slope of the line

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

$m=\frac{y2-y1}{x2-x1}$

we have

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

Substitute the values

$m=\frac{4-2}{2+2}$

$m=\frac{2}{4}=0.5$

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

Answer 2

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