Question

Write in point-slope form an equation of the line that passes through the point (4,4) with a slope of 3.

Answer 1

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

Explanation:

Point-slope form is represented by the formula
`y-y_1 = m (x-x_1)`. Substitute the
`m`,
`x_1`, and
`y_1` in the formula for real values in order to write the equation of a line in point-slope formula.

`m` represents the slope, thus substitute 3 for it.
`x_1` and
`y_1` represent the x and y values of one point the line intersects. So, use the x and y values of the point (4,4) for the formula. Substitute 4 for
`x_1` and 4 for
`y_1`. This gives the following answer and equation in point-slope form:

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