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2 answers:
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Answer:
see below for a graph
Step-by-step explanation:
To draw a graph on a grid, locate the point (4, -2) and use the slope to find another point. One such point will be 1 to the left and up 3*, at (3, 1). With two points, you can draw the line through them to complete the graph.
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For a graphing tool that requires an equation, the point-slope form of the equation can be used:
y -k = m(x -h) . . . . . a line of slope m through point (h, k)
For the given slope and point, the equation of the line is ...
y +2 = -3(x -4)
y = -3x +10
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* The slope is "rise" over "run". The slope of -3 means that a <em>run</em> of +1 will result in a <em>rise</em> of -3. The given point is already below the x-axis, so we don't really want to find more points farther down. In order to go up on a line with negative slope, we must choose a point to the left of the given one.
Answer:
the diameter will be D=26 in.
Step-by-step explanation:
The area of a circle is given by:
(1)
Where:
- A is the area
- R is the radius of the circle
Now, we know that A = 169 π in²
So, we just need to use equation 1 to find R.
Therefore, the diameter will be D=2*R=26 in.
I hope it helps you!
Answer:
The table and equation have the same slope
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
Step 1
Find the slope of the table
we have
Substitute the values
Step 2
Find the slope of the equation
we have
------> the equation represent a linear direct variation
The slope is equal to
therefore
The table and equation have the same slope