Write a linear equation for the line in the picture. (your y-intercept (b) will not be a whole number)

Question

Use the 2 points to find the slope (m) and then use one of the points to plug x and y plus the slope into the equation y=mx+b to solve for b.
points (1, 2) (5, 4)

Answer 1

First, let's find the slope (m) using the two points (1, 2) and (5, 4):

m = (4 - 2) / (5 - 1)
m = 2 / 4
m = 0.5

Now, let's pick one of the points (let's use (1, 2)) and plug it into the equation y = mx + b to solve for b:

2 = 0.5(1) + b
2 = 0.5 + b
b = 2 - 0.5
b = 1.5

Therefore, the linear equation for the line in the picture is:

y = 0.5x + 1.5