Slope-Intercept Form

Now, given a slope m and y-intercept at b.
What is the equation of the line?

y-intercept at b implies that the point (0,b) is on the line.
From the point slope form;

y - b = m ( x - 0 )
y - b = mx
y = mx + b This is the Slope-Intercept Form of a line.

ex.
From the previous example.

Find the equation of the line with a slope of 3/2
and a y-intercept at 4.

y-intercept at implies that the point (0,4) is on the line.

The slope-intercept form:

y = mx + b

2y = 3x + 8 multiplied 2 to both sides
3x - 2y = -8