Consider the line - 7x-6y = 4. What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

A parallel line would have a slope of while a perpendicular would have a slope of .

Step-by-step explanation:

Convert this equation to slope-intercept format ():

In this case, your slope is .

A parallel line, by definition, will have the same slope as your original line; otherwise, the lines would eventually touch, which would render them not parallel.

A perpendicular line, on the other hand, must form four 90-degree angles when it intersects the original line, that is, it must cross it at an exact slope; that slope is the opposite reciprocal of the slope for the original line. Simply put, invert the sign and flip the fraction. In this case:

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

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this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years