What is the equation of the line that passes through the point (−6,4) and has a slope of negative 5 over 6

y = -5/6x -1

Step-by-step explanation:

The three components needed to create the equation of a line are: the x and y coordinates, the slope, and the y intercept.

Both the x and y coordinates and the slope is given. To find the y intercept, we will create an equation following the template of point-slope form.

y = slope * x + y int.

4 = -5/6 * -6/ + y int.

4 = 5 + y int.

y int. = -1

We will reinstate this into our equation, and this will be our answer!

y = -5/6x -1

This is the equation!

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.

10cm

step-by-step explanation:

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