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

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Answer 1 · 2016-07-15T09:56:51

$y = 3 x + 2$ $y = 3x +2$

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.

$y - y_{1} = m (x - x_{1}) m = slope and (x_{1}, y_{1}) is a point$ $y-y_1 = m(x-x_1)" m = slope and "(x_1,y_1)" is a point"$

$y - 5 = 3 (x - 1)$ $y-5= 3(x-1)$

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

$y = 3 x + 2$ $y = 3x +2$