The equation of the line is y = -11x + 232
<h3>How to determine the equation?</h3>
The given parameters are:
Slope (m)= -11
Point (x1, y1) = (31, -109)
The linear equation is then calculated as:
y = m(x - x1) + y1
This gives
y = -11(x - 31) - 109
Evaluate the product
y = -11x + 341 - 109
Evaluate the like terms
y = -11x + 232
Hence, the equation of the line is y = -11x + 232
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Y = mx + b
m is your slope AKA rate of change
b is the y intercept.
from the graph we can see that the y intercept (b) is 15. (look at the y axis and see what point the line crosses on the y, here it is 15, in-between 10 and 20)
slope is rate of change. to figure this out remember slope = rise over run:

so pick two points. how much does one point rise after the other point you picked? In the graph it rises 1 square so rise = 1
Now looking at the same two points, how far away from each other are they on the x axis? Looking at the graph they are 2 squares away from each other. so run = 2
Now plug these numbers into the rise over run formula:

Now we have everything we need to put into our formula for a line:


For number 16 you should get:

after you do the same steps again yourself
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Answer:
(-21/24) - (-20/24) = -1/24
<em>Simplest Form of the Equation</em>
(-7/8) - (-5/6) = 0.04166666666
8x6= 48,
-7x6=-42
6x8= 48,
-5x8=40
(-42/48) - (-40/48)
Divide both sides by 2
(-21/24) - (-20/24) = -1/24