Write an equation of the line satisfying the given conditions.
Parallel to the line y=-5x-6 and a y-intercept of -2.
Would it be: y=-5x-2
The slope stays the same due to it being parallel and the only thing that changes is the y-intercept and that would be the -2.
Am I correct?
this is correct
Thanks!!
Yes, you are correct! The equation of the line that is parallel to y = -5x - 6 and has a y-intercept of -2 would be y = -5x - 2. As you mentioned, the slope remains the same (-5) because the line is parallel, and the only change is the y-intercept (-2). Well done!
Yes, you are correct. To find the equation of a line parallel to the given line, y = -5x - 6, with a y-intercept of -2, you can use the slope-intercept form of a line, y = mx + b, where m represents the slope and b represents the y-intercept. Since the line is parallel, the slope will remain the same.
The given line has a slope of -5, so the new line will also have a slope of -5. And since the y-intercept is -2, the equation of the new line would be y = -5x - 2.
So, y = -5x - 2 is the correct equation of the line that is parallel to y = -5x - 6 and has a y-intercept of -2.