SOLUTION: Find an equation of the line L that passes through the point (−2, 6) and satisfies the given condition. (Let x be the independent variable and y be the dependent variable

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Find an equation of the line L that passes through the point (−2, 6) and satisfies the given condition. (Let x be the independent variable and y be the dependent variable      Log On


   



Question 610264: Find an equation of the line L that passes through the point
(−2, 6)
and satisfies the given condition. (Let x be the independent variable and y be the dependent variable.)
The x-intercept of L is 5.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find an equation of the line L that passes through the point
(-2, 6)
and satisfies the given condition. (Let x be the independent variable and y be the dependent variable.)
The x-intercept of L is 5.
:
Using the slope intercept form; y = mx + b
:
-2m + b = 6: A line that passes thru -2, 6
5m + b = 0; x intercept is 5
-------------Subtraction eliminates b, find m
-7m = 6
m = -6/7
Find b
-2(-6/7) + b = 6
12/7 + b = 6
b = 6 - (12/7)
b = 42/7 - 12/7
b = 30/7
:
y = -6%2F7x + 30%2F7; slope/intercept form
Standard form, multiply by 7
7y = -6x + 30
6x + 7y = 30