SOLUTION: Find an equation of the line in slope-intercept form that passes through each given set of points. Show all your work. (�2, 2) and (1, 5) (1, 7) and (3, 2) (�3, 1) and (8,

Question 574557: Find an equation of the line in slope-intercept form that passes
through each given set of points. Show all your work.
(�2, 2) and (1, 5)
(1, 7) and (3, 2)
(�3, 1) and (8, 1)

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find an equation of the line in slope-intercept form that passes
through each given set of points. Show all your work.
(�2, 2) and (1, 5)
--------------
Find the slope, m
m = diffy/diffx = (2-5)/(-2-1)
m = 1
------
Use y = mx + b and either point to find b
5 = 1*1 + b
b = 4
-----
--> y = x + 4
--------------------
You can use determinants:
|+x y 1|
|-2 2 1| = 0
|+1 5 1|
---------------------
x*(2-5) - y*(-2-1) + 1*(-10-2) = 0
-3x + 3y = 12
x - y = -4
======================
Do these the same way.
(1, 7) and (3, 2)
(�3, 1) and (8, 1)

RELATED QUESTIONS
Find an equation of the line that passes through the given points and has the given... (answered by scott8148)

Write an equation in slope-intercept form for the line that passes through (3,5) and... (answered by JBarnum)

find an equation of the line that passes through the two given points. if possible, write (answered by Fombitz)

Write an equation in slope- intercept form of the line that passes through the given... (answered by Boreal)

Find an equation of the line that passes through the two given points. If possible write (answered by stanbon)

Write the equation of the line perpendicular to -2x+4y=8 that passes through (-3,1).... (answered by Alan3354)

Write the slope-intercept equation for the line that passes through (2, -2) and (-1, 10). (answered by rfer)

Write an equation of the line in slope intercept form that passes through the given... (answered by Alan3354)

Write an equation in slope-intercept form of the line that passes through the given... (answered by busterj)