Hart Bowen
07/23/2024 · Senior High School
g) What is the slope of the line \( -2 x+5 y=10 \) ? Write answer as integer or reduced fraction, no decimals. Next Part af 9 Nart
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Tutor-Verified Answer
Step-by-step Solution
To find the slope of the line given by the equation \(-2x + 5y = 10\), we can rearrange the equation into the slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope.
Starting with the original equation:
\[
-2x + 5y = 10
\]
We can isolate \(y\) by adding \(2x\) to both sides:
\[
5y = 2x + 10
\]
Next, we divide every term by \(5\) to solve for \(y\):
\[
y = \frac{2}{5}x + 2
\]
From this equation, we can see that the slope \(m\) is \(\frac{2}{5}\).
Thus, the slope of the line is:
\[
\frac{2}{5}
\]
Quick Answer
The slope is \( \frac{2}{5} \).
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