Line Equations from point/slope

Question

1. What is the equation of the line that passes through the point (3,-8) and has a slope of - 3 over 4

Answer 1

y=-3x/4 +b

-8= -9/4 +b

b= 9/4 - 32/4= -23/4

y= -3x/4 - 23/4 is the equation in slope intercept form, y=mx+b, with m=-3/4, b=-23/4

or

3x+4y +23 = 0 in general form

or

3x+4y = -23 in standard form

or slope =-3/4 = (y+8)/(x-3)

y+8 = (-3/4)(x-3) in point slope form