Answer:
If the slope is 1/7 the points are A) (0, 4) and (7,5)
If the slope is 5/3 the points are B) (4, 0) and (7,5)
If the slope is 7 the points are C) (4, 0) and (5, 7)
If the slope is 3/5 the points are D) (0, 4) and (5, 7)
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Calculate the slope of each case
case A) (0, 4) and (7,5)
substitute in the formula
[tex]m=\frac{5-4}{7-0}[/tex]
[tex]m=\frac{1}{7}[/tex]
case B) (4, 0) and (7,5)
substitute in the formula
[tex]m=\frac{5-0}{7-4}[/tex]
[tex]m=\frac{5}{3}[/tex]
case C) (4, 0) and (5,7)
substitute in the formula
[tex]m=\frac{7-0}{5-4}[/tex]
[tex]m=\frac{7}{1}=7[/tex]
case D) (0,4) and (5,7)
substitute in the formula
[tex]m=\frac{7-4}{5-0}[/tex]
[tex]m=\frac{3}{5}[/tex]
