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Complete the point-slope equation of the line through
(-4,8) and (4,4).
Use exact numbers.
y-4=◻

Complete the point-slope equation of the line through $(-4,8)$ and $(4,4)$ . $\newline$ Use exact numbers. $\newline$ $y-4=$ $\square$

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Find equations of tangent lines using limits

Full solution

Q. Complete the point-slope equation of the line through

(-4,8)

and

(4,4)

.

\newline

Use exact numbers.

\newline

y-4=

\square

Find the slope: First, find the slope $m$ of the line using the slope formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ where $(x_1, y_1)$ and $(x_2, y_2)$ are the given points. $\newline$ So, $m = \frac{4 - 8}{4 - (-4)}$
Calculate the slope: Now, calculate the slope: $m = \frac{-4}{8} = -\frac{1}{2}$ .
Use point-slope form: Next, use the point-slope form $y - y_1 = m(x - x_1)$ . We can use either point, but let's use $(4,4)$ . So, $y - 4 = \left(-\frac{1}{2}\right)(x - 4)$ .

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