Question

Write an equation in point-slope form for the line through the given point that has the given slope (-2,-7);m=-3/2

Answer 1

For this case we have that the point-slope equation of a line is given by:

`(y-y_ {0}) = m (x-x_ {0})`

Where:

m: It's the slope

`(x_ {0}, y_ {0}):` It is a point

We have as data that:

`(x_ {0}, y_ {0}): (- 2, -7)\\m = - \frac {3} {2}`

We replace:

`(y - (- 7)) = - \frac {3} {2} (x - (- 2))\\(y + 7) = - \frac {3} {2} (x + 2)`

Answer:
`(y + 7) = - \frac {3} {2} (x + 2)`