Answer:
Option (C)
Step-by-step explanation:
From the given table,
Dependent variable is the weight of each load and independent variable is number of loads of crushed stones.
Let the equation that represents the total weight is,
W = mn + b
Where 'm' = slope of the line
b = y-intercept
n = number of loads
Since graph starts from the origin (0, 0), y - intercept 'b' will be 0.
Two points lying on the line are (0, 0) and (1, 2000)
Slope of the line 'm' = 
= 
=2000
Therefore, equation will be,
W = 2000n
Option (C) will be the answer.
Answer:
D. y ≤ –3x + 4
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
She rotated clockwise but needs to go counterclockwise. It should be (-4, 2)
Answer:
17. y=1/2x+5
18. y=-2x+15
19. y=2x-7
Step-by-step explanation:
Number 17.
(4,7); parallel to y=1/2x-1
You know that lines that are parallel to each other have the same slope, so the slope is 1/2x.
1. Use the point-slope formula to solve for the slope-intercept equation.
y-y1=m(x-x1)
m= 1/2
x= 4
y= 7
y-7= 1/2(x-4)
y-7= 1/2x-2
y=1/2x+5
Number 18.
(4,7); perpendicular to y=1/2x-1
You know that lines that are perpendicular to each other have the opposite reciprocal slope, so the slope is -2.
1. Use the point-slope formula to solve for the slope-intercept equation.
y-y1=m(x-x1)
m= -2
x= 4
y= 7
y-7=-2(x-4)
y-7=-2x+8
y=-2x+15
Number 19.
f(3)=-1
f(4)=1
To write a linear equation, first find the slope with the slope formula.
x1= 3
y1= -1
x2= 4
y2=1
(y2-y1)/(x2-x1)
(1-(-1))/(4-3)
2/1
m=2
Use the point-slope formula and solve for the slope-intercept equation.
y-y1=m(x-x1)
y-1=2(x-4)
y-1=2x-8
y=2x-7
