Question

Write an equation in point-slope form of the line that passes through the point (-6,6) and has a slope of m=3/2

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Answer 1

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

Explanation:

Hi there!

We are given a point (-6, 6) and a slope of
`(3)/(2)`

We want to write the equation of the line that contains this point and slope in point-slope form

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

As we are already given everything we need, we can simply substitute the values into the formula

Starting with the slope, substitute 3/2 as m into the equation:

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

Now substitute -6 as
`x_1` and 6 as
`y_1`

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

Simplify:

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

Hope this helps!