Question

How do you find the slope of the line passing through the points (0, 5) and (-2, -1)?

Answer 1

`y = 3x + 5`

Explanation:

The equation of line is:
`y = mx + b`
where:
`m = (y_2-y_1)/(x_2-x_1) = (5 - (-1))/(0 - (-2)) = 6/2 = 3`
Note it is evident that b = 5; Why?

Now we know then: `y = 3x + b`
Pick any point say (0,5); `y = 3(0) + 5; b = 5`