Question

Write the point-slope form of the equation of the line passing through the (-12, -5) with a slope of 3

y-12=3(x-5)
y+12=3(x+5)
y+5=3(x+12)
y-5=3(x-12)

Any help on this?

Answer 1

Hint:
Point-slope form of equation of a line

Case : Line through a point with known slope

\(\color{teal}{m} \)= slope
\((\color{blue}{x_0},\color{purple}{y_0})\) = given point

Equation of line \(\boxed{\color{red}{L: y-\color{purple}{y_0} = \color{teal}{m} (x-\color{blue}{x_0})}}\)

Example:
Find equation of the line with slope 2.5 passing through the point (4,3)
\(\color{teal}{m} = \color{teal}{2.5}\)
\((\color{blue}{x_0},\color{purple}{y_0})=(\color{blue}{4},\color{purple}{3})\)
\(L: (y-\color{purple}{3}) = \color{teal}{2.5} (x-\color{blue}{4}) => y-\color{purple}{3}=\color{teal}{2.5}x-10 => y = 2.5x-7\)

Answer 2

third one