Write the linear function for the given function values. f(-2)=9 and f(6)=7
1 answer:
Answer:
Step-by-step explanation:
Hello!
A linear function is written in the form of , where m is the slope and b is the y-intercept.
Each of these expressions can be converted to coordinate form, (-2,9) and (6,7).
<h2>Slope</h2>Slope can be calculated by the difference in the x-values divided by the difference in the y-values.
Solve
The slope is -1/4.
<h2 /><h2>Y-intercept</h2>The y-intercept is found by plugging in the x and y values of a coordinate and the slope and then solving for b.
Solve
We can find the equation by simply plugging in all the values that we found.
Equation:
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Recall:
The tan of the measure of an angle is the ratio of the opposite side to the adjacent side to that angle, that is :
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Since this ratio is 3/y, we denote the opposite side, and adjacent side respectively by 3 and y.
(Technically we should write 3t and yt, but we try our luck as we see y in the second ratio too!)
Similarly,
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The adjacent side is already denoted by y, so we denote the length of the hypotenuse by z.
Now the sides of the right triangle are complete.
Answer: A
The tan of the measure of an angle is the ratio of the opposite side to the adjacent side to that angle, that is :
Since this ratio is 3/y, we denote the opposite side, and adjacent side respectively by 3 and y.
(Technically we should write 3t and yt, but we try our luck as we see y in the second ratio too!)
Similarly,
The adjacent side is already denoted by y, so we denote the length of the hypotenuse by z.
Now the sides of the right triangle are complete.
Answer: A