Question

How do you write an equation of a line given m = 3, point (5,2)?

Answer 1

`y = 3x -13`

Explanation:

There is a nifty formula for the equation of a line which applies in just such a case where we are given the slope and one point.

`y-y_1 = m(x-x_1)" m = slope and "(x_1,y_1)" is a point"`

`(y - 2) = 3(x-5) " simplify into "y = mx+c`

`y " "= 3x -15+2`

`y = 3x -13`