Question
Coordinate Proofs Practice Complete this assessment to review what you’ve learned. It will not count toward your grade. 5 of 55 of 5 Items Question Ruben is designing an image using computer software. A grid that looks like a coordinate plane is his drawing board. He needs to construct a line parallel to an existing line y=−5x+6 . What is the slope of the parallel line?(1 point) m= Remaining Attempts : 3 Skip to navigation page 17 of 18 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.
Answers
GPT-4o mini
To find the slope of a line parallel to the given line \( y = -5x + 6 \), we first identify the slope from the equation:
The slope-intercept form of a line is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
In the equation \( y = -5x + 6 \), the slope \( m \) is \( -5 \).
Since parallel lines have the same slope, the slope of the line parallel to \( y = -5x + 6 \) is also \( -5 \).
**Thus, the slope of the parallel line is:**
\[ m = -5 \]
The slope-intercept form of a line is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
In the equation \( y = -5x + 6 \), the slope \( m \) is \( -5 \).
Since parallel lines have the same slope, the slope of the line parallel to \( y = -5x + 6 \) is also \( -5 \).
**Thus, the slope of the parallel line is:**
\[ m = -5 \]