Question

How do you write an equation with slope = 3; (1, 5)?

Answer 1

`y = 3x +2`

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-5= 3(x-1)`

`" "y = 3x -3 +5 " this simplifies to give the equation:"`

`y = 3x +2`