Question

What is the equation of the line that passes through the point (2,7) and has a slope
of 6?

Answer 1

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

`y-7 = 6(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. All you need to do is substitute
`m`,
`x_1`, and
`y_1` for real values.

Since
`m` represents the slope, substitute 6 in its place. Since
`x_1` and
`y_1` represent the x and y values of one point the line intersects, take the x and y values of (2,7) and substitute them into the formula as well. So, substitute 2 for
`x_1` and 7 for
`y_1`. This gives the following equation and answer:

`y-7 = 6(x-2)`