Slope-intercept form is

, where m is the slope and b is the y-intercept.
Here, we first need to distribute the 1/3.

Next, we add 3 to both sides of the equation.
Answer:
<em>Answer: (second option) (-4,1)</em>
Step-by-step explanation:
<u>Transformations of Points and Shapes</u>
The image shows a trapezoid ABCD where point A has coordinates (-4,1).
The following transformations are performed:
Reflection over the y-axis: If a point (x,y) is reflected over the y-axis, it becomes (-x,y). Thus point A becomes A'=(4,1)
Reflection over the x-axis: If a point (x,y) is reflected over the x-axis, it becomes (x,-y). Thus point A' becomes A''=(4,-1)
Rotation 180°: If a point (x,y) is rotated 180°, it becomes (-x,-y). Thus point A'' becomes A'''=(-4,1)
Answer: (second option) (-4,1)
Answer:
Six
Step-by-step explanation:

Find the greatest common factor of each number.
Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24
The greatest common factor of 30 and 24 is 6.
Jane can make six fruit baskets if she divides the fruit evenly among them.
Answer:
Side length and perimeter of 1 face
Area of 1 face and surface area
Step-by-step explanation:
Suppose you are given cube with side length of x units.
Then
Side length = x units
Perimeter = 4x units
Area of 1 face
square units
Surface area
square units
Volume
cubic units
A linear relationship is any equation that, when graphed, gives you a straight line.
Consider all options:
A. Side length and perimeter of 1 face is a linear relationship, because the graph of the function
is a straight line.
B. Perimeter of 1 face and area of 1 face is not a linear relationship, because the graph of this relationship is a quadratic parabola with equation
.
C. Surface area and volume is not a linear relationship, because the graph of this relationship is a curve with equation
.
D. Area of 1 face and surface area is a linear relationship, because the graph of the function
is a straight line.
E. Side length and volume is not a linear relationship, because the graph of this relationship is a cubic parabola with equation
.
To find the x-intercept, substitute 0 for y and solve for x.
-6x + 3(0) = 18.9
-6x = 18.9
x = 18.9 / -6
x = -3.15 <-- Your x-intercept is (-3.15,0)
To find the y-intercept, substitute in 0 for x and solve for y.
-6(0) + 3y = 18.9
3y = 18.9
y = 18.9/3
y = 6.3 (0,6.3) <-- Your x-intercept is (0,6.3)
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