A line passes through the points (5,4) and (2,1) .What is the equation of the line that passes through these points? SHOW WORK

Question

asked Feb 23, 2020 120k views

2 Answers

Sandover · Answer 1 · 2020-02-28T06:10:46+0000

Answer:

Explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

The formula of a slope:

m=(y_2-y_1)/(x_2-x_1)

We have the points (5, 4) and (2, 1). Substitute:

$m=(1-4)/(2-5)=(-3)/(-3)=1\\\\y-1=1(x-2)$

y-1=x-2 add 1 to both sides

y=x-1