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Example 1
What is the slope of the line corresponding to the equation $-8 x+5 y-3=0$?
- $\dfrac{8}{5}$
- $-\dfrac{8}{5}$
- $\dfrac{5}{8}$
- $-\dfrac{5}{8}$
- $\dfrac{3}{5}$
Solution
This example is about finding the slope of a line given by an equation.
- We first rewrite the given equation in slope intercept form $y = m x + b$ and then identify the slope $m$. Solve for $y$ the equation $-8 x+5 y-3=0$ as follows: First isolate the term in $y$
$5 y=8 x + 3$
- Divide all terms of the equation by $5$
$y=\dfrac{8}{5} x + \dfrac{3}{5}$
The slope $m$ is the coefficient of $x$ and is equal to $\dfrac{8}{5}$.
Answer A
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