Step-by-step explanation:
the order in which you asked the question is correct
The line segment goes through (-2,3) and (1,-3).
The slope of the line is

Therefore the equation of the line segment is of the form
y = -2x + b
Because the line segments goes through (-2,3), therefore
-2(-2) + b = 3
4 + b = 3
b = -1
Answer: The equation is y = -2x - 1
Answer:
top = 17ft
bottom = -12ft
Step-by-step explanation:
As seen in the badly drawn picture attached in this question we are trying to find the point at the top of the ladder and the point at the bottom of the ladder. As seen in the picture ground level has an altitude of 0 ft meaning that lower than this would be in the negatives. Since the basement floor is 12 feet below ground level then this point would be -12 ft. Now since we know that the ladder is 29ft tall we simply add this height to the basement floor value to get the value of the 2nd floor ceiling (top of the ladder).
29ft + ( -12ft) = 17ft
Therefore we can see that the point at the top of the ladder is 17ft.
Let's start by declaring our varibles.
x = number of lawns Mr. Brust mowed
y = total amount of money Mr. Brust made
Let's create our equation.
y = 15x + 55
For part b, we can plug 800 in for y.
800 = 15x + 55
Subtract 55 from both sides.
745 = 15x
Divide both sides by 15
50 = x. Note, I rounded the answer to the nearest integer.
For part c, we can plug 13 in for x.
y = 15(13) + 55
Simplify the right side of the equation.
y = 250