Question

What is the slope of a line that is perpendicular to the line whose equation is 7x−3y=10?

Answer 1

Since this equation is already in standard form, there is no need to convert it. Standard form is Ax + By = C. In this equation, 7 = A, 3 = B, and 10 = C. From standard form, Ax + By = C equals negative A over B.

7x + 3y = 10

↓

$\displaystyle\ m= \frac{-7}{-3}$

Then you'd simplify.

$\displaystyle\ m=\frac{7}{3}$

The slope cannot be simplified any more, so this would be the final answer.

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- Marlon Nunez