Question

Write an equation that represents the line.
Use exact numbers.

Answer 1

Explanation:

( - 2 , 1 )

( 4 , 6 )

m =
`(1-6)/(-2-4)` =
`(5)/(6)`

y - 6 =
`(5)/(6)` ( x - 4 )

y =
`(5)/(6)` x -
`(10)/(3)` + 6

y =
`(5)/(6)` x +
`(8)/(3)`

Answer 2

y=5/6x+8/3

Explanation:

Let's use the slope-intercept form:

y=mx+b

m: slope

b: y-intercept

x and y: x and y coordinate pair

We start by finding the slope.

Slope = (y₂-y₁)/(x₂-x₁)

Slope = (6-1)/(4-(-2)) These are the two points on the line given to us

Slope = 5/6

Now we find the y-intercept:

y=5/6x+b

We can plug in one of the x and y coordinate pairs into the equation:

6=5/6(4)+b

6=10/3+b

b=8/3

Since we have the y-intercept and the slope, we can write the equation:

y=5/6x+8/3