The general form of equation of line is :
y = m(x -a ) + b
where m = slope, (a,b) = passing points
The given equation of line : y = 5x + 7
On comparing it with the general form of line
we get : a = 0, b = 7, m =5
Slope = 5
a) If the two lines are parallel then the slopes of both the lines are equal.
Let the slope of the parallel line is x
slope of the given line is 5
since, the slopes are equal thus x = 5
slope of line parallel to the line y= 5x+7. is 5
b) If the two lines are perpendicular then the product of thier slope is (-1)
Let the slope of the perpendicular line is n
since the slope of the given line is 5
so, from the above statement of slopes of perpendicular lines: 5n = -1
5n = -1
n = -1/5
n = -1/5
slope of line perpendicular to the line y= 5x+7. is -1/5
Answer:
a) slope = 5
b) slope = -1/5