23/3 because 7 times which is 21 than add the 2 which was originally their and you get your answer 23/3
For the given graph , slope of the line is equal to ( 1 / 2 ).
As given in the question,
Form the given graph,
Scale is given by,
On x-axis each unit of the graph represent 1 unit.
On y- axis each unit of the graph represent 1 unit.
Consider two coordinates from the line of the graph,
( x₁ , y₁ ) = ( 1, 2 )
( x₂ , y₂ ) = ( 3, 3 )
Slope of the line = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substitute the value in the formula of the slope we get,
Slope of the line = ( 3 - 2 ) / ( 3 - 1 )
⇒ Slope of the line = 1 / 2
Therefore, for the given graph , slope of the line is equal to ( 1 / 2 ).
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We need to find a clever way to break up 19pi/12 into two different values. We want the two values to be special angles.
We want the two values to divide into 12 so we can simplify the fractions. One option is to break 19 into 4 and 15.
simplifying our fractions,
Apply your Tangent Angle Addition Identity,
simplify each thing using your unit circle,
multiply by conjugate of the denominator to rationalize,
expanding the numerator,
dividing each term by -2 as a final step,
I hope that helps!