Question

What is the equation, in standard form, of the line passing through the points (2,-3) and (4,2)?

Answer 1

`5x-2y-16=0`

Explanation:

We know equation of a line passing through `(x_1,y_1)=(2,-3) and (x_2,y_2)=(4,2) is [y-y_1]/[x-x_1]=[y_2-y_1]/[x_2-x_1]`

`rArr [y-(-3)]/[x-2]=[2-(-3)]/[4-2]`

`rArr[y+3]/[x-2]=[2+3]/2`

`rArr 2(y+3)=5(x-2)`

`rArr 2y+6=5x-10`

`rArr5x-2y-16=0`