100 POINTSDetermine the slope for the line that meets each condition stated. Show your work.A. Passes through the points (3,5) and (−1,−7)B. Passes through the points given by the table of values.x y−2 -7-1` −60 −51 −42 −3

Answer:Part A) [tex]m=3[/tex] Part B) [tex]m=1[/tex] Step-by-step explanation:we know thatThe formula to calculate the slope between two points is equal to [tex]m=\frac{y2-y1}{x2-x1}[/tex] Part A) Determine the slope for the line that passes through the points (3,5) and (−1,−7)substitute the values in the formula[tex]m=\frac{-7-5}{-1-3}[/tex] [tex]m=\frac{-12}{-4}[/tex] [tex]m=3[/tex] Part B) Determine the slope for the line that passes through the points given by the table of valuesLooking at the given table, take two points(0,-5) and (2,-3)substitute the values in the formula[tex]m=\frac{-3+5}{2-0}[/tex] [tex]m=\frac{2}{2}[/tex] [tex]m=1[/tex]