Question

Write the equation of the line that passes through the points (−6,1) and (−2,4). Will mark brainliest!!

Answer 1

Answer:

3x - 4y + 22 = 0

Step-by-step explanation:

The equation of a straight line passing through the given two points ($x_{1},y_{1}$) and ($x_{2},y_{2}$) is given by the formula

$\frac{y - y_{1} }{y_{1} - y_{2}} = \frac{x - x_{1} }{x_{1} - x_{2}}$

Here in our case, the two given points are (-6,1) and (-2,4) and the equation of the straight line passing through those two points will be  

$\frac{y - 1}{1 - 4} = \frac{x - (- 6)}{- 6 - ( - 2)}$

⇒ 4(y - 1) = 3(x + 6)

⇒ 3x - 4y + 22 = 0 (Answer)