Question

Find the slope of the line that passes through (1,6) and (9,3)

Answer 1

Answer is -3/8 slope

Step by step

You can find slope by graphing these points and finding the rise (y axis) over run (x axis). I attached the example.

The formula for finding slope is
(y2 - y1) over (x2 - x1)

3 - 6 over 9 -1

-3 over 8 = -3/8

Two easy ways to find slope!

Answer 2

Given the points ( 1 , 6 ) and ( 9 , 3 )

The slope of the line = m

`m=(rise)/(run)=(3-6)/(9-1)=(-3)/(8)`

so, the equation will be :

`y=-(3)/(8)x+b`

where b is a constant, we will find the value of b using the point ( 1 , 6 )

when x = 1 , y = 6

so,

`\begin{gathered} 6=-(3)/(8)\cdot1+b \\ b=6+(3)/(8)=(51)/(8) \end{gathered}`

so, the equation of the line is:

`y=-(3)/(8)x+(51)/(8)`

The standard form of the line will be as following:

Multiply the equation by 8

So,

`\begin{gathered} 8y=-3x+51 \\ \\ 3x+8y=51 \end{gathered}`