graph and write the equation of the line

Question

graph and write the equation of the line passing through the points (2,2) and (4,3)

Answer 1

First, remember that point-slope form of a line is:

 

y - y₁ = m(x - x₁),

 

where m = slope and (x₁, y₁) is a point the line passes through.

 

 

Let's find the slope of your line. Slope is rise/run, or (change in y)/(change in x):

 

m = (y₂ - y₁) / (x₂ - x₁)

m = (3 - 2) / (4 - 2)

m = 1/2

 

 

Now that you know slope, you can plug m = 1/2 and (x₁, y₁) = (2, 2) into point-slope form:

 

y - 2 = 1/2(x - 2)

 

 

 

To graph the line, you can just plot those two points ((2, 2) and (4, 3)) and connect them. Make sure you extend the line beyond both points.