Find the equation of the line using the exact numbers
2 answers:
It wants you to write the answer in slope intercept form
y = mx + b
m is the slope ()
b is the y-intercept (where the line intersects the y axis)
The rise is 1
The run is -4 (this is negative because it runs from right to left)
^^^Both of these can be seen labeled in pink on the graph below
Slope: = -0.25
^^^This has a negative slope because the line is decreasing from left to right
Y - intercept: (0, - 6) <<< b will just be -6
^^^Can be seen labeled in green on the graph below
We know that m (slope) is (aka -0.25)and that b is -6. You can plug this into the equation y = mx + b:
y = x - 6
OR
y = -0.25x - 6
Hope this helped!
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To calculate the square root, you can either use the √symbol on a calculator or you can manually find it using Prime Factorization. For non-perfect squares, Prime Factorization is the way to go.
The first two steps work for solving large perfect squares as well.
1. Divide your number into perfect square factors.
2. Take the square roots of your perfect square factors.
3. If your number doesn't factor perfectly, reduce your answer to simplest terms.
4. If needed, estimate. In some cases if you have memorized some of the square roots, you can estimate where the number would be.
ie.
you know that 
and 
, so you can estimate that the would be between 7 and 8 but closer to 8.
5. <span>Alternatively, reduce your number to its lowest common factors as your first step.</span><span> Finding perfect square factors isn't necessary if you can easily determine a number's prime factors (factors that are also prime numbers).
ie. </span>
=
=
=
Hope this helped!!!
The first two steps work for solving large perfect squares as well.
1. Divide your number into perfect square factors.
2. Take the square roots of your perfect square factors.
3. If your number doesn't factor perfectly, reduce your answer to simplest terms.
4. If needed, estimate. In some cases if you have memorized some of the square roots, you can estimate where the number would be.
ie.
5. <span>Alternatively, reduce your number to its lowest common factors as your first step.</span><span> Finding perfect square factors isn't necessary if you can easily determine a number's prime factors (factors that are also prime numbers).
ie. </span>
=
=
=
Hope this helped!!!