Question

Write an equation of a line passing through the point (2,-1) and has the slope of -3

Answer 1

When we are having a point (x1,y1) and slope (m) then the equation of line is given by y - y1 = m (x - x1)

Here we do have following data provided they are;

• Point (x1,y1) = (2,-1)

• Slope (m) = -3

Placing values in the given equation we get,

$\implies\sf{y - y1 = m(x - x1)}$

$\implies\sf{y - ( - 1) = - 3(x - 2)}$

$\implies\sf{y + 1 = - 3(x - 2)}$

$\implies\sf{y + 1 = - 3x + 6}$

• Thus the equation of line is y + 1 = -3x + 6