Answer:
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.
Step-by-step explanation:
1) Slope of the line is given as [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here,(x1,y1) = (-11,2) and (x2, y2) = (-1,-13)
So, slope [tex]m = \frac{-13 - 2}{-1 -(-11)} = \frac{-15}{10} = -\frac{3}{2}[/tex]
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.
