Question

what is the slope of the line that passes through (27,-31) and (-28,24)

Answer 1

Answer:

-11/13

Step-by-step explanation:

To find the slope we have to use this formula: (y₁ - y₂)/(x₁ - x₂)

Our equation can be (-31 - 24)/(27 + 28) or (24 + 31)/(-28 - 27), but it cannot be (-31 - 24)/(-28 - 27) nor (24 + 31)/(27 + 28).

I'll use (-31 - 24)/(27 + 28) to find the slope

Just simply add and subtract the numbers inside the parenthesis

(-55)/(65)

Simplify it to -11/13

Answer 2

Step-by-step explanation:

m = y2-y1/x2-x1

Points = ( 27, -31),( -28, 24)

m = 24 - ( -31) / -28 - 27

m = 24 + 31 / -28 - 27

m = 55 / - 56

m = 55 / - 56

Therefore, the gradient of the line is 55/56

Hope it helps.