Answer:
y=8x-67
Step-by-step explanation:
So the question is what is the equation for the following two coordinate points?
Well to start off what is the formula? The formula is called the linear equation. Which is y=mx+b. What does these letters or "variables" mean or represent?! Welp, m stands for the slope, which is "Δy over Δx." Some people call say "the change of y over x." I call it the rise over run. So it is saying y over x. The b in the linear equation is the y-intercept. The y-intercept is when the line crosses the y-axis.
With that being said, let's find the slope. But how? Well with the Δy over Δx. The formula is y₂-y₁ over x₂-x₁. With the two coordinate points we can label them.
y₂=5
y₁=(-11)
x₂=9
x₁= 7
Now let set it up into the equation of y over x
Slope = <u> 5- (-11) </u> = <u> 5 + 11 </u> = <u> 16 </u> = 8
9-7 9-7 2
So we now have the slope! Which is 8! So put that into the linear equation!
y=8x+b
Next, we need to find b, the y-intercept! How do we do that well, we can figure it out by one of the coordinate points! Let use the (7, -11) point for example! Remember, x= 7 and y= (-11)
(-11) = 8(7) + b
(-11) = 56 + b
<u>-56 -56</u>
-67 = b
We now have b, which is negative 67! So we need to put all the information we have found into the linear equation!
y=8x-67
answer:
2.5 or 2 1/2
work:
4(joshuas friends)+1(joshua)=5
5×1/2=5/2
5/2= 2.5
Answer:
(-6127) + 0 = (-6127)
(+18) + 2 = (+20)
(+27) - 7 = (+20)
(+63) + (-13) = (+50)
(+21) - 4 = (+17)
Step-by-step explanation:
See below for the changes when the exponential function is transformed
<h3>How to determine the effect of a</h3>
The exponential functions are given as:
An exponential function of the above form is represented as:
See attachment for the graph of the four functions.
<u>When a is large</u>
This is represented by
In this case, the curve of the base form is vertically stretched and it moves closer to the y-axis
<u>When a is small</u>
This is represented by
In this case, the curve of the base form is vertically stretched and it moves away from the x-axis
<u>When a is negative</u>
This is represented by
In this case, the curve of the base form is vertically stretched and is reflected across the y-axis.
Read more about function transformation at:
brainly.com/question/26896273
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