Expert: Paul Klarreich - 2/8/2008

Question
Given the slope of the line, find the equation for each line.

a) A line of slope 4 passing through the point (0,2)

b) A line of slope -5 passing through the point (3,4)

c) A line of slope 0 passing through the point (1,2)

Answer
Questioner:   Robert
Category:  Advanced Math
Private:  No
 
Subject:  Slopes
Question:  Given the slope of the line, find the equation for each line.

a) A line of slope 4 passing through the point (0,2)

b) A line of slope -5 passing through the point (3,4)

c) A line of slope 0 passing through the point (1,2)
 
..............................
Hi, Robert,
Since you didn't tell me what you already tried to do, I assume you just need help getting started.

Use the standard equation (the point-slope form) of a line:

y - y0 = m(x - x0)

where m is your given slope, and  (x0,y0) is a given point on the line.

a) A line of slope 4 passing through the point (0,2)
 m = 4,  (x0,y0) = (0,2)

b) A line of slope -5 passing through the point (3,4)
 m = -5,  (x0,y0) = (3,4)

c) A line of slope 0 passing through the point (1,2)
 m = 0,  (x0,y0) = (1,2)
[note: in this case, the x0 is irrelevant.]