Function A is a linear function whose graph includes the points (-8,-21) and (8,-7). Which of the following functions has the same slope as Function A? Choices: (A)y = 7/8x + 14 (B)y = -14x + 7/8 (C)y = 14x - 7/8 (D)y = -7/8x - 14

Calculate slope Function A: Calculate the slope of Function A using the points (-8,-21) and (8,-7). Slope (m) = (y2 - y1) / (x2 - x1) = (-7 - (-21)) / (8 - (-8)) = 14 / 16 = 7/8.Compare calculated slope: Compare the calculated slope with the slopes of the given choices. Choice (A) has a slope of 7/8, which matches the calculated slope.Verify other choices: Verify that no other choices have the same slope. Choices (B), (C), and (D) do not have a slope of 7/8.

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Function A is a linear function whose graph includes the points $(-8,-21)$ and $(8,-7)$ . $\newline$ Which of the following functions has the same slope as Function A? $\newline$ Choices: $\newline$ (A) $y = \frac{7}{8}x + 14$ $\newline$ (B) $y = -14x + \frac{7}{8}$ $\newline$ (C) $y = 14x - \frac{7}{8}$ $\newline$ (D) $y = -\frac{7}{8}x - 14$

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Math Problems

Algebra 2

Write a quadratic function from its x-intercepts and another point

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Q. Function A is a linear function whose graph includes the points

(-8,-21)

and

(8,-7)

\newline

Which of the following functions has the same slope as Function A?

\newline

Choices:

\newline

(A)

y = \frac{7}{8}x + 14

\newline

(B)

y = -14x + \frac{7}{8}

\newline

(C)

y = 14x - \frac{7}{8}

\newline

(D)

y = -\frac{7}{8}x - 14

Calculate slope Function A: Calculate the slope of Function A using the points $(-8,-21)$ and $(8,-7)$ . $Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-7 - (-21)}{8 - (-8)} = \frac{14}{16} = \frac{7}{8}$ .
Compare calculated slope: Compare the calculated slope with the slopes of the given choices. $\newline$ Choice (A) has a slope of $\frac{7}{8}$ , which matches the calculated slope.
Verify other choices: Verify that no other choices have the same slope. Choices (B), (C), and (D) do not have a slope of $\frac{7}{8}$ .