SOLUTION: without graphing,tell whether the graphs of the equations are parallel, perpendicular, or neither. justify your answers using complete sentences. m(x)= -5x + 123/7 and x+5y= -12

Question 735628: without graphing,tell whether the graphs of the equations are parallel, perpendicular, or neither. justify your answers using complete sentences. m(x)= -5x + 123/7 and x+5y= -12
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
and
firs write them in slope-intercept form: where and
..already in slope-intercept form: and

...solve for

.... and
take a look at slopes: and
lines that are parallel have : since , these line are not parallel
to be perpendicular, lines have to have slopes negative reciprocals of each other
as you can see, and are reciprocals, but you have and ; so, since both negative, one is negative reciprocal of other one
therefore,these line are not perpendicular ether
so, these lines are neither parallel nor perpendicular, they must be intersecting in one point
let's check it on a graph:

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