(4,3) and (-1, 03) when I plot these two on a graph they are parellel. Am I correct. How do I find the slope of the line m=___?

Answer 1

Slope (m)= (y2-y1)/(x2-x1)
= (3-3)/(4+1)
m = 0

Using the point slope formula,
y-y1 = m (x-x1)
y-3 = 0 (x-4)
y-3= 0
Therefore, y =3 is the equation which is parallel to the x-axis!!

Hope that helps :)

Answer 2

for the numberator portion of your answer, subtract the 1st y value from the 2nd y value (remember your ORDER as the same order will apply to the x values later).
next, do the same for your x values.

this is what it looks like:

3- 03 0
----- + --- = "0"
4- (-1) 5

your slope is zero which means you have a horizontal line