Question

Find the equation of a line passing through (2,9)  and parallel to the line 3x + 4y = 11

Answer 1

3x + 4y = 11

4y = -3x + 11

y = ${\displaystyle \frac{-3}{4}\text{x}+\frac{11}{4}}$

m = ${\displaystyle \frac{-3}{4}}$

Equation of line, ${\displaystyle \frac{\text{y}-{\text{y}}_1}{\text{x}-{\text{x}}_1}}$ = m

${\displaystyle \frac{\text{y}-9}{\text{x}-2}=\frac{-3}{4}}$

4y - 36 = -3x + 6

3x + 4y = 42