Question

How do you write an equation in point slope form given (3.2, -1.4), (2.4, 1.8)?

Answer 1

`y=11.4-4x`

Explanation:

First, we need to know the slope of the line. The slope is rise over run or `m=\frac{y_2-y_1}{x_2-x_1}`.

Plugging in the given values we get
`m=\frac{1.8+1.4}{2.4-3.2}=\frac{3.2}{-0.8}=-4`

The formula for point-slope form is
`y-y_0=m(x-x_0)`
We will use the first point in the equation to get
`y+1.4=-4(x-3.2)`
`y+1.4=-4x+12.8`

Simplify
`y=11.4-4x`