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.
:
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 = {{{-6/7}}}x + {{{30/7}}}; slope/intercept form
Standard form, multiply by 7
7y = -6x + 30
6x + 7y = 30