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) ]
=========================================
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.
Answer:
£1,330.46
Hope this helps, mate!
Step-by-step explanation:
Hope this helps, mate! :)
Answer:
Find the area of each triangle and then add it up. As you are aware, to find the area of a triangle the equation is B times Height divided by 2. And to make it easier do the top left triangle and the top right triangle, add them together and then divide that by 2.
Step-by-step explanation:
3 time 5 equals 15 divided by 2 equals 7.5
5 times 8 equals 40 divided by 2 equals 20
7.5 plus 20 equals 27.5
27.5 times 2 equals 55
therefor your answer should be 55m
Take the area of the room and subtract the area of the rug.
12*10-7*5=
120-35=
85
