Determine the slope (4,12) and (6,20)
2 answers:
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Answer:
Step-by-step explanation:
We want to write an exponential function that goes through the points (0, 20) and (6, 1280).
The standard exponential function is given by:
The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:
Simplify:
So, our exponential function is now:
Next, the point (6, 1280) tells us that <em>y</em> = 1280 when <em>x</em> = 6. Thus:
Solve for <em>b</em>. Divide both sides by 20:
Therefore:
Hence, our function is:
The equation of the line is
Explanation:
The equation of the line is perpendicular to
The equation is of the form where m=-14
<u>Slope:</u>
The slope of the perpendicular line can be determined using the formula,
Thus, the slope of the line is
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Substituting the slope and the point (2,-4), we get,
Simplifying, we get,
Thus, the equation of the line is