SOLUTION: A line has the x-intercept 12 and y-intercept 7. The slope of the line is m = ? An equation for the line is? ----------- ----------- ----------- ----------- -------

Algebra ->  Equations -> SOLUTION: A line has the x-intercept 12 and y-intercept 7. The slope of the line is m = ? An equation for the line is? ----------- ----------- ----------- ----------- -------      Log On


   

Question 903074: A line has the x-intercept 12 and y-intercept 7.
The slope of the line is m = ?

An equation for the line is?

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A line L has the equation 30x + 2y = 10.
Find an equation for the line that passes through the point (-17, -11) and is parallel to L.



The slope of the line through (-17, -11) perpendicular to L is
m = ?

please explain how these are solved. Thank you
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
X intercept is (12,0).
Y intercept is (0,7).
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%287-0%29%2F%280-12%29
m=-7%2F12
Then using the slope intercept form,
y=-%287%2F12%29x%2B7
.
.
Parallel means it has the same form but a difference right hand side.
30x%2B2y=D
Use the point to solve for D.
30%28-17%29%2B2%28-11%29=D
D=-510-22
D=-532
30x%2B2y=-532
.
.
.
Perpendicular lines have slopes that are negative reciprocals.
30x%2B2y=-532
2y=-30x-532
y=-15x-266
The slope of the first line is m=-15
-15%2Am%5Bp%5D=-1
m%5Bp%5D=1%2F15