Question

Can someone help me with 7,8, and 9 with work plz.

Answer 1

1)Slope of the line joining the points (-11,2) and (-1,-13) = (-3/2)

2) The x intercept of 3x + 8y = 96 is 32.

3) 40 + 25 x = y is the desired equation.

Explanation:

1) Slope of the line is given as
`(y_2 - y_1)/(x_2 - x_1)`

Here,(x1,y1) = (-11,2) and (x2, y2) = (-1,-13)

So, slope
`m = (-13 - 2)/(-1 -(-11))   = (-15)/(10)  = -(3)/(2)`

Hence, slope of the line = (-3/2)

2) Equation given here is 3x + 8y = 96

Here, to determine x - intercept put y = 0 in above equation

3x + 8(0) = 96

or, x = 96/3 = 32

Hence, the x intercept of 3x + 8y = 96 is 32.

3) Registration fess per month = $40

Membership per month of gym = $25

If, there are x months of membership,

y is total price spent, then

According to question:

40 + 25 x = y is the desired equation.