Question

Write the equation of the line passing through (7,-4) and (-1,2) in slope intecept form

Answer 1

y=-3/4x+5/4

Explanation:

Answer 2

Answer: y =
`(-3x)/(4)` +
`(5)/(4)`

Explanation:

Using the formula for finding equation of a line :

`(y_(2) - y_(1) )/(x_(2)- x_(1))` =
`(y - y_(1) )/(x - x_(1) )`

From the question:

X1 = 7

X2 = -1

Y1 = -4

Y2 = 2

Substituting into the formula , we have

`(2 - (-4))/(-1 - 7)` =
`(y - (-4))/(x - 7)`

⇒
`(6)/(-8)` =
`(y+4)/(x - 7)`

`(-3)/(4)` =
`(y+4)/(x - 7)`

4( y + 4) = -3 ( x - 7)

4y + 16 = -3x + 21

4y = - 3x + 21 - 16

4y = - 3x + 5

y = -3x/4 + 5/4