Question

Write The Equation Of a Line That Contains The Points (2,5) And (-2,-1) ?

Answer 1

First, we need to find the slope of the line using the following formula.
`(y2-y1)/(x2-x1)`

`= (-1-5)/(-2-2)`
`= (-6)/(-4)`
`= 3/2`

Therefore, the slope of the line is `3/2`.

Next, we need to find the y-intercept by substituting the following using the slope and one of the given points.
(2,5)

`y = mx+b`
`5= 3/2 (2)+b`
`5= 6/2 +b`
`5-6/2 =b`
`4/2 =b`
`b=2`

Therefore, the y-intercept is `2`.

Lastly, write the equation.
`y = 3/2x +2`