80.8k views
0 votes
Which of the following shows the graph of a line through (–2,2) and (2,4)?

Which of the following shows the graph of a line through (–2,2) and (2,4)?-example-1
Which of the following shows the graph of a line through (–2,2) and (2,4)?-example-1
Which of the following shows the graph of a line through (–2,2) and (2,4)?-example-2
Which of the following shows the graph of a line through (–2,2) and (2,4)?-example-3
Which of the following shows the graph of a line through (–2,2) and (2,4)?-example-4

2 Answers

6 votes
I cant see the numbers on the graphs very well...but it looks to be the second graph
User Gawkface
by
8.2k points
5 votes

Answer:

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

Which of the following shows the graph of a line through (–2,2) and (2,4)?-example-1
User Joseph Lam
by
7.6k points

No related questions found