Question
Exit Ticket \( 1 / 09 \) If a Inear equation in Slope-Intercept Form is \( y=-3 x+16 \), what would the slope of a parallel line be? \( m=\square \)
Ask by Joseph Christensen. in Dominican Republic
Jan 09,2025
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Answer
The slope of a parallel line is \(-3\).
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The slope of any line in slope-intercept form \( y = mx + b \) is represented by \( m \). In your equation \( y = -3x + 16 \), the slope is \(-3\). Since parallel lines have identical slopes, any line parallel to this would also have a slope of \(-3\). So, \( m = -3 \). Remember, parallel lines never meet, but they do share the same inclination! Think of it as two trains running side by side on the same track, never bumping into each other but always keeping the same pace.