Question

How would you find the slope of this line and write an equation for it?

Answer 1

Given the points:

A (-1, 3) and B (0, 4)

slope - intercept form of an equation: y = mx + b.

`m\text{ = }(y_2-y_1)/(x_2-x_1)`
`m\text{ = }\frac{4-3}{0\text{ + 1}}=\text{ 1}`

Now, to find b, we can replace one point in the slope- intercept form:

4 = 1 x 0 + b

b = 4

Slope- intercept equation: y = x + 4