slope-intercept form:
y=mx+b
m=slope
b=y-intercept
Data:
slope=3/4
(2,-3) ⇒y₀=-3 when x₀=2
We have to find "b"; therefore:
y=mx+b
-3=(3/4)(2)+b
3/2+b=-3
b=-3-3/2
b=-9/2
Answer: y=(3/4)x-9/2
Other method:
Point-slope form; we need a point (x₀,y₀) and the slope (m).
y-y₀=m(x-x₀)
Data:
m=3/4
(2,-3)
y+3=3/4(x-2) Point-slope form
y+3=(3/4)x-3/2
y=(3/4)x-3/2 - 3
y=(3/4)x+(-3-6)/2
y=(3/4)x-9/2
Answer: the line will be: y=(3/4)x-9/2
