Question

Write the equation of the line MN, which is formed by the points M(-3,5) and N(2,0)

Answer 1

The equation is y = -x + 2

Answer 2

Step 1

Find the slope of the given line

Let

`M(-3,5)\ N(2,0)`

we know that

the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

substitute the values

`m=(0-5)/(2+3)`

`m=(-5)/(5)`

`m=-1`

Step 2

Find the equation of the line

we know that

the equation of the line into point-slope form is equal to

`y-y1=m(x-x1)`

we have

`m=-1`

point N
`(2,0)`

substitute the values

`y-0=-1(x-2)`

`y=-x+2`

therefore

the answer is

`y=-x+2`