Answer :

Slope (m) of RH = 3/4

Distance of RH is d =5 units

Midpoint between points R and H is: M(1, 3.5)

How to Find the Slope?

Slope (m) = change in y / change in x = y2 - y1/x2 - x1, where:

R(3, 5) = (x1, y1)

H(-1,2) = (x2, y2)

Plug in the values

Slope (m) = (2 - 5) / (-1 - 3)

Slope (m) = (-3) / (-4)

Slope (m) of RH = 3/4

How to Find the Distance between two Points?

Distance formula used is: [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

R(3, 5) = (x1, y1)

H(-1,2) = (x2, y2)

Plug in the values

RH = √[(−1−3)² + (2−5)²]

RH = √[(−4)² + (−3)²]

RH = 5 units

How to Find the Midpoint?

The midpoint formula used is: M[(x2 + x1)/2, (y2 + y1)/2)

R(3, 5) = (x1, y1)

H(-1,2) = (x2, y2)

Substitute the values

M[(-1 + 3)/2, (2 + 5)/2)

M(1, 3.5)

Therefore,

Slope (m) of RH = 3/4

Distance of RH is d =5 units

Midpoint between points R and H is: M(1, 3.5)

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