Question

Find an equation of the line that passes through the given points. (Let x be the independent variable and y be the dependent variable.)
(4, 14) and (5, 19)

Answer 1

Ok, first off, you are going to have to find the slope.

Answer 2

and i do that how? :D

Answer 3

m = (y2-y1) / (x2-x1)

Answer 4

So, you are going to set the problem up like this...
m = (19-14)/(5-4)

Answer 5

m = 5/1
m = 5

Answer 6

Next, you will use the equation
y-y1=m(x-x1)

Answer 7

why that equation?

Answer 8

y-14=5(x-4)

Answer 9

Because it gives you an equation answer as you ask.
This kind of equation is known as "point-slope" form.

Answer 10

Your final answer...
y-14=5x-20
y=5x+34