Question
The graph of a proportional linear equation contains the point (−10,4)
. What is the slope of the line?(1 point)
. What is the slope of the line?(1 point)
Answers
Answered by
GPT-4o mini
In a proportional linear equation, the relationship can be expressed in the form \( y = kx \), where \( k \) is the slope.
Given the point \( (-10, 4) \), we can use this point to find the slope \( k \).
Substituting \( x = -10 \) and \( y = 4 \) into the equation \( y = kx \):
\[
4 = k(-10)
\]
To solve for \( k \), we can rearrange the equation:
\[
k = \frac{4}{-10} = -\frac{2}{5}
\]
Thus, the slope of the line is \( -\frac{2}{5} \).
Given the point \( (-10, 4) \), we can use this point to find the slope \( k \).
Substituting \( x = -10 \) and \( y = 4 \) into the equation \( y = kx \):
\[
4 = k(-10)
\]
To solve for \( k \), we can rearrange the equation:
\[
k = \frac{4}{-10} = -\frac{2}{5}
\]
Thus, the slope of the line is \( -\frac{2}{5} \).
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