Question

How do you write an equation of the line in point slope form with (–1, –3) and (4, 1)?

Answer 1

`y-1 = 4/5(x-4)`

Explanation:

Step 1: Find the slope
`m=(Delta y)/(Delta x) = (1-(-3))/(4-(-1)) = 4/5`

Step 2: Using either of the given points plug that point and the slope into the standard slope-point form for a line
Slope-point form:
`color(white)("XXXX")` `y-haty = m(x-hatx)`
`color(white)("XXXX")` `color(white)("XXXX")`for a slope of `m`
`color(white)("XXXX")` `color(white)("XXXX")`and a point `(hatx,haty)`

Using the point `(hatx,haty)=(4,1)` and the previously determined `m=4/5`

A slope-point form of the line is
`color(white)("XXXX")` `y-1 = 4/5(x-4)`