The slope intercept form is y=mx+b
The slope formula is m=(y2-y1)/(x2-x1)
So; 5-(-7) / 0-4= -3
Then you use one of the points to find b; I’ll use 0 and 5 (the first number is x and the second number is y)
5=(-3)(0)+b
5=0+b
5=b
Finally you plug in your two values
Y= -3x+5
Hope this helps :)
F(x) = 5 + 2x where x is the number of times he walks the neighbours dog
y-intercept is at y=5 and slope = 2
g(x) :- As x increases by 4 g(x) decreases by -8 so the slope is -8/4 = -2
when x = 0, g(x) = the y intercept is at -1 + (-8/2) = - 5
so equation of g(x) is g(x) = -5 -2x
h(x):- the slope is (3 - 5) / (1 - 0) [ difference in y values / diff in x values]
slope = -2
so we have h(x) = -2x + c where c = the y-intercept
when x = 0 h(x) = 5
so c = 5
h(x) = 5 - 2x
Now j(x)= 2x - 5 - slope is 2 and y intercept = -5
Answer:
5 ft, 6.5 ft, 7 ft
Step-by-step explanation:
area of trapezoid = (base1 + base2)h/2
Let the unknown base = x
area of trapezoid = (8.5 + x)(6)/2
area = 3x + 25.5
We want the area to be between 40 ft^2 and 48 ft^2.
40 < 3x + 25.5 < 48
14.5 < 3x < 22.5
4.8333 < x < 7.5
Answer: 5 ft, 6.5 ft, 7 ft
