Question

What is the equation of the line (0,1)(3,10)

Answer 1

y = 3x + 1

Explanation:

Start with y = ax + b

From both boints you can deduct a as dy/dx = (10-1)/(3-0) = 3

Then by filling in (0,1) you find b = 1.

Answer 2

`y = 3x+1`

Explanation:

The coordinates are (0,1) and (3,10)

Finding the slope first:

=> Slope =
`(rise)/(run)`

=> Slope =
`(10-1)/(3-0)`

=> Slope =
`(9)/(3)`

=> Slope = m = 3

Now, y-intercept = b = 1 (Since here the x-coordinate is equal to 0)

So the equation becomes:

=>
`y = mx+b`

=>
`y = 3x+1`