Lines c and d are parallel. The equation of line c is y = -3x – 5. What is the equation of line d?
Equation of line d:
y = _____x – _____
Lines c and d are parallel. The equation of line c is y = -3x – 5. What is the equation of line d? Equation of line d: y = _____x – _____.
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To find the equation of line d, we need to remember that parallel lines have the same slope. The slope-intercept form of a line is given by the equation ( y = mx + b ), where ( m ) represents the slope.
For line c, the equation is ( y = -3x – 5 ). Here, the slope ( m = -3 ). Since line d is parallel to line c, it will also have a slope of ( -3 ).
The equation of line d can be written as ( y = -3x + b ), where ( b ) can be any value (it represents the y-intercept). Without more information about line d’s position (like a specific point it passes through), we can leave the y-intercept as a variable.
So, the equation of line d can be expressed in the form:
Equation of line d:
( y = -3x + b )
Where ( b ) is any number indicating the y-intercept of line d. If you have additional information about a specific point on line d, you can substitute that point into the equation to find the exact value of ( b ).