Question

Find the point slope equation of the line using the point (6,9) and slope of 3/2

Answer 1

y=1.5x

Explanation:

Use the equation y-y1=m(x-x1)

y-9=1.5(x-6)

y-9=1.5x-9

y=1.5x

Answer 2

`y-9=(3)/(2) (x-6)`

Explanation:

Pre-Solving

We are given that a line has a slope (m) of 3/2, and contains the point (6,9).

We want to write the equation of this line in point-slope form.

Point-slope form is given as
`y-y_1=m(x-x_1)`, where m is the slope, and
`(x_1, y_1)` is a point.

Solving

As we are given both the point and the slope, we can plug those values into the equation.

Starting with the slope, we can substitute 3/2 as m.

We get:

`y-y_1=(3)/(2) (x-x_1)`

Now, substitute 6 as
`x_1` and 9 as
`y_1`.

`y-9=(3)/(2) (x-6)`