Find an equation of the line passing through each pair of points. Write the equation in the form Ax + By = C.
-$\left( - \frac { 1 } { 2 } , \frac { 5 } { 4 } \right) \text { and } \left( \frac { 4 } { 3 } , \frac { 1 } { 3 } \right)$
A)11x + 22y = 22
B)-11x - 22y = 22
C)11x + 22y = -22
D)22x + 11y = 22

Question

Quizplus · Accepted Answer

First, calculate the slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{\frac{1}{3} - \frac{5}{4}}{\frac{4}{3} + \frac{1}{2}} = -\frac{11}{6}$. Then, use point-slope form $y - y_1 = m(x - x_1)$ and simplify to get $11x + 22y = 22$.

Find an Equation of the Line Passing Through Each Pair (−12,54) and (43,13)\left( - \frac { 1 } { 2 } , \frac { 5 } { 4 } \right) \text { and } \left( \frac { 4 } { 3 } , \frac { 1 } { 3 } \right)(−21​,45​) and (34​,31​)

Find an Equation of the Line Passing Through Each Pair $\left( - \frac { 1 } { 2 } , \frac { 5 } { 4 } \right) \text { and } \left( \frac { 4 } { 3 } , \frac { 1 } { 3 } \right)$