Write an equation of the line satisfying the given conditions. Parallel to the line y=-5x-6 and a y-intercept of -2
m = -5
in y = m x + b
y = -5 x + b
-2 =-5(0) + b
b = -2
so
y = -5 x - 2
To find the equation of a line parallel to a given line, we need to know that parallel lines have the same slope. The given line has a slope of -5. So, the line we are looking for will also have a slope of -5.
The equation of a line can be written in the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
We are given that the y-intercept is -2. Therefore, the equation of the line parallel to y = -5x - 6 and with a y-intercept of -2 is:
y = -5x - 2
This is the equation of the line we are looking for.