Question

What equation is (2,-1) and (-4,5)

Answer 1

Answer:

$y=-x+1$

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

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

we have

(2,-1) and (-4,5)

substitute the values

$m=\frac{5+1}{-4-2}$

$m=\frac{6}{-6}$

$m=-1$

step 2

Find the equation of the line in point slope form

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

we have

$m=-1$

$point\ (2,-1)$

substitute

$y+1=-(1)(x-2)$

$y+1=-(x-2)$

step 3

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y+1=-x+2$

$y=-x+2-1$

$y=-x+1$