What is an equation of the line that passes through the points (-6, -3) and
(-3, -5)?

find the gradient = change in y/change in X

-5 - -3/-3 - -6

= -2/3

take any two point say -3,-5 and equate to the gradient

Y - 5 /X - 3 = -2/3

cross multiply

3y - 15 = -2x + 6

3y = -2x +6 + 15

3y = -2x + 21

y = -2/3x +7

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.