Question

Find an equation of the line that has the given slope and passes through the given point m= -6, (2,4)

Answer 1

Explanation:

Equation of line in slope point form is given as:

`y - y_1 = m(x-x_1) \\ \therefore \: y - 4 = - 6(x - 2) \\ \therefore \: y - 4 = - 6x + 12 \\ \therefore \: y = - 6x + 12 + 4\\ \red{ \bold{ \therefore \: y = - 6x + 16}} \\ or \: \purple{ \bold{ 6x + y - 16 = 0}} \\ is \: the \: required \: equation \: of \: line.`