Find an equation of the line that passes through the points (1, 3) and (3, 13).
C)
D)
E)

Question

Find an equation of the line that passes through the points (1, 3) and (3, 13). ​
C) ​ 
D) ​ 
E) ​

Quizplus · Accepted Answer

We can use the formula for the equation of a line that passes through two points:

(y - y₁) = m(x - x₁)

where: 
- (x₁, y₁) and (x₂, y₂) are the given points 
- m is the slope of the line

First, we need to find the slope:

m = (y₂ - y₁)/(x₂ - x₁) 
m = (13 - 3)/(3 - 1) 
m = 5

Now, we can choose either point to plug in as (x₁, y₁). Let's use (1, 3):

(y - 3) = 5(x - 1)

Simplifying:

y - 3 = 5x - 5 
y = 5x - 2

So the equation of the line that passes through (1, 3) and (3, 13) is y = 5x - 2, which corresponds to choice C.

Find an Equation of the Line That Passes Through the Points