Question

1. What is the equation of the line through the points (21, 14) and (49,35)? (Please

be sure to simplify all fractions or write as decimals.)

PlZzzz I need help

Answer 1

3x - 4y - 7 = 0

Explanation:

We know that the equation of a straight line passing through two known points
`(x_1, y_1)` and
`(x_2, y_2)` is given by

`(y - y_2)/(y_2 - y_1) = (x - x_2)/(x_2 - x_1)`

Therefore, the equation of the straight line passing through the points (21,14) and (49,35) will be

`(y - 35)/(35 - 14) = (x - 49)/(49 - 21)`

⇒
`(y - 35)/(21) = (x - 49)/(28)`

⇒ 4(y - 35) = 3(x - 49)

⇒ 4y - 140 = 3x - 147

⇒ 3x - 4y - 7 = 0 (Answer)