Question

The slope of the line below is 2. Write a point-slope equation of the line using the coordinates of the labeled point( 3,10)

Answer 1

Point slope form of the line is
`y-10=2(x-3)`

Explanation:

The point-slope form of a line is given as:

`y-y_1=m(x-x_1)`

Where,

• 
  `m` is the slope, and
• 
  `(x_1,y_1)` is the x point and y point respectively

The question tells us the slope is 2, hence
`m=2` and the point given is (3,10) which means
`x_1=3` and
`y_1=10`. Substituting these values into the point slope form of a line gives us:

`y-(10)=2(x-(3))\\y-10=2(x-3)`

Hence, point slope form of the line is
`y-10=2(x-3)`