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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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 \( -10 \).

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The slope is \( 6 \) and the \( y \)-intercept is \( -10 \).
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