What is the exact distance from (-5, 1) to (3, 0)?

The exact distance is √65

Step-by-step explanation:

To solve this problem we first have to make the difference between (-5, 1) and (3, 0)

(3 , 0) - (-5 , 1) =

3 - (-5) = 8

0 - 1 = -1

(8 , -1)

Now that we have the distance in x and r we can use Pythagoras to calculate the distance of the diagonal

a = 8

b = -1

h² = a² + b²

h² = 8² + (-1)²

h² = 64 + 1

h² = 65

h = √65

The exact distance is √65

answ5

step-by-step explanation:

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y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4