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.
The value of the y coordinate of any point on the x axis is always 0.
<u><em>Explanation</em></u>
Suppose, the co ordinate of any point is 
.
It means, the distance of the point from x-axis is '
' and distance from y-axis is '
'.
Now if the point lies on the x-axis, that means the distance of the point from x-axis will be 0. Thus, the value of '' will be 0.
So, the value of the y coordinate of any point on the x axis is always 0.
Answer: B
Step-by-step explanation: x = 6
Answer:
x equals 10
Step-by-step explanation:
you are moving the 5 from the hundredth value to the tenth, meaning it is becoming a higher number. for this one, just multiply by 10.
50 ≥ 20 + 6x
She can spend less than 50 or 50 dollars exactly. 20 represents the amount for the jeans. The x represents the t-shirts. 6 represents cost per t-shirt.
