QuestionFind the slope of the line through points $(-3,8)$ and $(4,7)$ . Show your work.

Studdy Solution

STEP 1

Assumptions1. The line passes through the points $(-3,8)$ and $(4,7)$ . . The slope of a line is given by the formula $lope = \frac{y - y1}{x - x1}$ where $(x1, y1)$ and $(x, y)$ are the coordinates of two points on the line.

STEP 2

Identify the coordinates of the two points. We havePoint1 $(-,8)$ , so $x1 = -$ and $y1 =8$ . Point2 $(4,7)$ , so $x2 =4$ and $y2 =7$ .

STEP 3

Substitute the values of $x1$ , $y1$ , $x2$ , and $y2$ into the formula for the slope.
$lope = \frac{y2 - y1}{x2 - x1} = \frac{7 -8}{ - (-3)}$

STEP 4

implify the expression in the numerator and the denominator.
$lope = \frac{-1}{7}$ The slope of the line that passes through the points $(-3,8)$ and $(4,7)$ is $-\frac{1}{7}$ .

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