Question

How do you write the equation of a line in slope intercept, point slope and standard form given Point: (7, -2) Slope:m = 1/2?

Answer 1

(1) Point slope form of the equation is `y + 2 = (1/2) * (x - 7)`

(2) Slope intercept form of equation `y = x/2 - 11/2`

(3) Standard form `x - 2y = 11`

Explanation:

`slope = m = 1/2, A(x_1, y_1) = (7, -2)`

Slope intercept form `y = mx + c`

Point slope form `(y - y_1) = m (x - x_1)`

Standard form of linear equation `Ax + By = C`

Known m, one point, equation of a line can be written using

`y - y_1 = m (x - x_1)` point slope form.

(1) Point slope form of the equation is `y + 2 = (1/2) * (x - 7)`

`2y + 4 = x - 7`

`2y = x - 7 - 4 = x - 11`

(2) Slope intercept form of equation `y = x/2 - 11/2`

(3) Standard form `x - 2y = 11`