Question

A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = y equals negative StartFraction 5 Over 3 EndFraction left-parenthesis x minus 2 right parenthesis.(x – 2). Which equations also represent this line?

Answer 1

y = -5/3x + 10/3

3y = -5x + 10

5x + 3y = 10

Explanation:

Got it right on Edge

Answer 2

The equation of line 5 x + 3 y = 10.

Explanation:

Two points (- 4, 10 ) and (- 1, 5)

The equation of line passing through the two points is given by

`(y -y_(1))=\frac {y_(2)-y_(1)}{x_(2)-x_(1)}* (x- x_(1))\\\\(y - 10)=\frac {5 - 10 }{- 1+ 4}* (x +4)\\\\y -10 = (-5)/(3)* (x +4)\\\\3 y - 30 =- 5 x - 20\\\\5 x + 3 y = 10`