Answer:
Explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
The given equation is y = -5x-3
Compared to y = mx + c, the slope, m is - 5
a) if two lines are parallel, it means that they have equal slope. Therefore the slope of the line parallel to y = -5x-3 is - 5. Since the y intercept is 6, the equation would be y = - 5x + 6
b) if two lines are perpendicular, the slope of one line is the negative reciprocal of the line perpendicular to it. Since the slope of the given line is - 5, the slope of the line perpendicular to it is 1/5. The equation becomes
y = x/5 + 6