You can put this solution on YOUR website!
The slope-intercept form is: y = mx + b.
m = slope
m = rise over the run
m = change in y / change in x
m = 0 if the line is horizontal
m = undefined if the line is vertical
b = y-intercept
y-intercept is the point (0, b)
In your given equation:
y = 4
y = (3/5)*x + b
4 = (3/5)*x + b
m = 3/5
This means that y changes 3 units when x changes 5 units.
rise = 3 / run = 5
4 = 3/5x + b does not not tell us enough to find the value for 'b'.
For example, if x = 5, then b =1.
But if x = -5, then b = 9.
We cannot find 'b' unless we know a (x,y) pair.
In the following graph, two lines are shown;
red line is for the line defined by
y = 3/5x +1
green line is defined by
y = 3/5x + 9
blue line is defined by
y = -5/3x -3
which is perpendicular to the other two