Find the equation of the line passing through the indicated two points in standard form.
-(9, -2)and (5, 1)
A) $11 x + 4 y = - 51$
B) $- 3 x + 4 y = 19$
C) $- 11 x - 4 y = - 51$
D) $3 x + 4 y = 19$

Question

Find the equation of the line passing through the indicated two points in standard form.
-(9, -2)and (5, 1) 
A) $11 x + 4 y = - 51$
B) $- 3 x + 4 y = 19$
C) $- 11 x - 4 y = - 51$
D) $3 x + 4 y = 19$

Quizplus · Accepted Answer

To find the equation of the line passing through the points (9, -2) and (5, 1), we first calculate the slope (m) using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$, which gives $m = \frac{1 - (-2)}{5 - 9} = \frac{3}{-4} = -\frac{3}{4}$. Then, using point-slope form $y - y_1 = m(x - x_1)$ and converting to standard form $Ax + By = C$, we get $3x + 4y = 19$.

Find the Equation of the Line Passing Through the Indicated 11x+4y=−5111 x + 4 y = - 5111x+4y=−51

Find the Equation of the Line Passing Through the Indicated $11 x + 4 y = - 51$