60.1k views
5 votes
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

User Arshaw
by
7.8k points

1 Answer

5 votes

Answer:

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)

User PKo
by
7.2k points