Which is an equation in point slope form of the line that passes through the points 7,5 and -4,-1

y+1=6/7(x+4)

y+1=6\11(x+4)

y+4=11/6(x+1)

y-1=6/11(x-4)

the second option is the correct one

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

To calculate m use the slope formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 4, - 1)

m = = =

Use either of the 2 points as (a, b)

using (- 4, - 1), then

y- (- 1) = (x - (- 4)), that is

y + 1 = (x + 4)

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.

step-by-step explanation:

abc