Question

Write an equation of the line that passes through the given point P and

has the given slope m.
P(-2, 4), m=3

Answer 1

Answer (assuming it can be in point-slope form):

`y-4 = 3(x+2)`

Explanation:

Use the point-slope formula
`y-y_1 = m (x-x_1)`, to write the equation of the line in point-slope form. Substitute x and y values for
`m`,
`x_1`, and
`y_1` in the formula.

Since
`m` represents the slope, substitute 3 for it. Since
`x_1` and
`y_1` represent the x and y values of a point the line intersects, take the x and y values of point P and substitute them into the equation as well. Substitute -2 for
`x_1` and 4 for
`y_1`. This gives the following answer:

`y-4 = 3(x+2)`