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What is the slope of the line through $(-1,8)$ and $(3,-4)$ ?

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Evaluate integers raised to positive rational exponents

Full solution

Q. What is the slope of the line through

(-1,8)

and

(3,-4)

?

Identify Coordinates: Identify the coordinates of the two points. $\newline$ The first point is $(-1, 8)$ , which means $x_1 = -1$ and $y_1 = 8$ . $\newline$ The second point is $(3, -4)$ , which means $x_2 = 3$ and $y_2 = -4$ .
Recall Slope Formula: Recall the formula for the slope $m$ of a line through two points $(x_1, y_1)$ and $(x_2, y_2)$ . The formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$ .
Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. $\newline$ $m = \frac{{-4 - 8}}{{3 - (-1)}}$
Perform Subtraction: Perform the subtraction in the numerator and the denominator. $\newline$ $m = (-4 - 8) / (3 + 1)$ $\newline$ $m = (-12) / (4)$
Simplify Fraction: Simplify the fraction to find the slope. $\newline$ $m = -\frac{12}{4}$ $\newline$ $m = -3$

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