First let's assume that the table contains points on a straight line. Then all we have to do is to determine the slope of that line.
Suppose we go from (0,3) to (7,-28.5).
-28.5-3 -31.5
Then the slope, m, is m = ------------- = ---------- = - 9/2, or - 4.5.
7-0 7
Let's check this result!
Suppose that y = mx + b governs the relationship between x and y.
Then y = -4.5x + b
suppose we find b by substituting the coordinates from the point (0,3):
3 = -4.5(0) + b
Then b = 3, and y = -4.5x + 3. Does the point (-2,12) satisfy this equation?
Does 12 = -4.5(-2) + 3? Does 12 = 9 + 3? YES.
So y = -4.5x + 3 is the equation from which these points came, and the rate of change of y with respect to x is the slope m = -4.5, or m = -9/2.
Answer:
-1/3
Step-by-step explanation:
To find the slope you have to find the rise over run. Start at the first point then go down 3 and over to the right 1. Your slope is -1/3.
Answer:
<h2>A = 210 cm²</h2>
Step-by-step explanation:
Area of a parallelogram = base × height
From the question
The base is = 30 cm
Let h represent the height of the parallelogram
We must first use Pythagoras theorem to find the height of the parallelogram before finding it's area
We have
We have the answer as
h = 7 cm
So from the question
height = 7cm
Let's substitute the base and the height into the above formula and solve for the area
We have
Area = 30 × 7
We have the final answer as
<h3>A = 210 cm²</h3>
Hope this helps you
Answer:
(-7, 1)
Step-by-step explanation:
Coordinate rules :]
Reflection over x-axis -- (x, y) -> (x, -y)
Reflection over y-axis -- (x, y) -> (-x, y)
Reflection over y = x -- (x, y) -> (y, x)
Reflection over y = -x -- (x, y) -> (-y, -x)
Answer:
3/4
Step-by-step explanation:
Parallel lines have same slopes.
