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

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0-5}{2+3}$

$m=\frac{-5}{5}$

$m=-1$

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

$y=-x+2$