Question

Find the slope of the line passing through each of the following pairs of points.
(−3, 1), (0, 3)

Answer 1

If you start at (-3,1) and end up at (0,3), you will have increased x by 3 and y by 2.  Thus, the slope of this line is  m = rise / run = 3 / 2.

Using the point-slope form of the equation of a straight line, we get:

y - 1 = (3/2)(x+3).

This could be rewritten in other forms:

y = 1 + (3/2)x + 9/2, or y = 2/2 + (3/2)x + 9/2, or y = (3/2)x + 11/2.

Answer 2

Hey there!!

How do we find slope??

Slope = y₂ - y₁ / x₂ - x₁

( -3 , 1 ) ( 0 , 3 )

x₁ = -3 , x₂ = 0

y₁ = 1 , y₂ = 3

Always remember

the co-ordinates are written as ( x , y )

Slope = 1 - 3 / - 3 - 0

Slope = - 2 / - 3

Slope = 2/3

Hope my answer helps!