A line contains the points (4, 2) and (0, 1). What is the equation of the line? Show your work.
Mathematics
yeseniarangel2627
Question
A line contains the points (4, 2) and (0, 1). What is the equation of the line? Show your work.
1 Answer

1. User Answers gmany
Answer:
[tex]\large\boxed{y=\dfrac{3}{4}x1}[/tex]
Stepbystep explanation:
The slopeintercept form of an equation of a line:
[tex]y=mx+b[/tex]
m  slope
b  yintercept (0, b)
We have two points (4, 2) and (0, 1) → b = 1.
Calculate the slope:
[tex]m=\dfrac{12}{04}=\dfrac{3}{4}=\dfrac{3}{4}[/tex]
Finally:
[tex]y=\dfrac{3}{4}x1[/tex]