You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing: Taking two points and finding the slope of the line that goes through them.
In every case, the procedure is the same.
If the two points are (x₁ , y₁) and (x₂ , y₂) , then
the slope of the line that goes through them is
Slope = (y₂ - y₁) / (x₂ - x₁) .
This is important, and you should memorize it.
#1). (8, 10) and (-7, 14)
Slope = (14 - 10) / (-7 - 8) = 4 / -15
#2). (-3, 1) and (-17, 2)
Slope = (2 - 1) / (-17 - -3) = (2 - 1) / (-17 + 3) = 1 / -14
#3). (-20, -4) and (-12, -10)
Slope = [ -10 - (-4) ] / [ -12 - (-20) ]
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The word problem:
This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?
A "proportional relationship" always passes through the origin,
so another point on the line is (0, 0) .
Now you have two points on THAT line too, and you can easily
find its slope.
This relation is a function. This is because no x value is repeated, so it passes the vertical line test.
Here is an example of where a relation is NOT a function:
{(2, 5), (3, –5), (2, 5), (5, –5)}
Hope this helps!
Answer:
46.2 square inches
Step-by-step explanation:
A parallelogram is a quadrilateral (4 sided closed figure) with 2 pair of parallel sides.
The diagram shown is a parallelogram.
Top and Bottom are parallel lines,
both sides are parallel lines (left and right).
The area for a parallelogram is given by:
Area = Base * Height
In the given figure, the base is clearly given as 4.2 inches
The height (perpendicular distance from base) is given as 11 inches.
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<em><u>So, basically we do not need the 11.7 inches length of side given.</u></em>
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Now, lets compute the area:
Area = base * height = 4.2 * 11 = 46.2 square inches
Parallel = same slope
Y = -3x + 7, the slope is -3
Slope intercept form: y = mx + b
Y = -3x + b
Plug in point (2,-4) and solve for b
-4 = -3(2) + b
-4 = -6 + b, b = 2
Solution: y = -3x + 2
The answer is D
Answer:
the number that repeat is number 2
