The equation of the line through ( 2 , 1 ) and (5, -8) is y = -3x + 7
The standard equation of a line in slope-intercept form is expressed as
y = mx+b
m is the slope of the line
b is the y-intercept
Given the coordinate points (2, 1) and (5, 8)
Get the slope of the line:
[tex]m=\frac{-8-1}{5-2} \\m=\frac{-9}{3}\\m=-3[/tex]
Get the y-intercept
Recall that y = mx + b
1 = -3(2) + b
1 = -6 + b
b = 1 + 6
b = 7
Get the required equation of the line.
y = -3x + 7
Hence the equation of the line through ( 2 , 1 ) and (5, -8) is y = -3x + 7
Learn more equation of lines here: https://brainly.com/question/17003809
