Question

How do you write an equation in point slope form of a line through point j(4,1) with slope -4?

Answer 1

y-1 = -4(x-4)

Answer 2

• The Point-Slope form of the Equation of a Straight Line is:

`(y-k)=m*(x-h)`
`m` is the Slope of the Line

`(h,k)` are the co-ordinates of any point on that Line.

• Here, we have been given the coordinates `(h,k)` of 1 point on that line as `(4,1)`
  And the Slope `m` is given as `-4`

Substituting the values of h, k and m in the Point-Slope form, we get

`(y-1)=(-4)*(x-4)`

The above will be the Equation of the Line in Point-Slope form .

The graph will look like this:

graph{y=-4x+17 [-12.66, 12.65, -6.33, 6.33]}