76.4k views
2 votes
What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3, 1)?

A. y = 3x + 1
B. y = x - 3
C. y = 2x + 5
D. y = 2x - 5

User AyCe
by
7.7k points

1 Answer

6 votes
First we need to find the slope:

Slope formula=
(y2-y1)/(x2-x1)

Plug in your given values from the coordinate
Slope =
(1-(-3))/(3-1)

When we have 2 "-"'s together they turn into a + sign so we add.
Slope =
(1+3=4)/(3-1=2)
Slope =
(4)/(2)

Simplify (in this case divide) the slope:
Slope =
2

slope-intercept form is:
y=mx+b
Where m=slope
b=y-intercept

So far we have:
y=2x+b

To find b all we have to do is pick any given coordinate and plug it in:
I chose (3,1)

so we plug that in the equation
1=6+b

Now solve for b:
1=6+b
subtract 6 from both sides
b=-5

Final answer:
y=2x-5 (D)
User Sean Kwon
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories