Sullivan Powell
08/05/2024 · Junior High School
Find the slope and \( y \)-intercept of the line. \( -6 x+y=-10 \)
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Step-by-step Solution
To find the slope and \( y \)-intercept of the line given by the equation \( -6x + y = -10 \), we can rearrange the equation into the slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the \( y \)-intercept.
Starting with the given equation:
\[
-6x + y = -10
\]
We can isolate \( y \) by adding \( 6x \) to both sides:
\[
y = 6x - 10
\]
Now, the equation is in the slope-intercept form \( y = mx + b \).
From this equation, we can identify:
- The slope \( m = 6 \)
- The \( y \)-intercept \( b = -10 \)
Thus, the slope of the line is \( 6 \) and the \( y \)-intercept is \( -10 \).
Quick Answer
The slope is \( 6 \) and the \( y \)-intercept is \( -10 \).
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