QuestionCalculate the slope of the line through the points $(-2,-5)$ and $(-1,3)$ .

Studdy Solution

STEP 1

Assumptions1. We have two points in the Cartesian coordinate system $(-,-5)$ and $(-1,3)$ . The slope of a line passing through two points $(x1, y1)$ and $(x, y)$ is given by the formula $m = \frac{y - y1}{x - x1}$

STEP 2

Let's denote the first point as $(x1, y1)$ and the second point as $(x2, y2)$ .
So, we have $x1 = -2$ , $y1 = -5$ , $x2 = -1$ , and $y2 =$ .

STEP 3

Substitute these values into the slope formula.
$m = \frac{y2 - y1}{x2 - x1}$ $m = \frac{3 - (-5)}{-1 - (-2)}$

STEP 4

implify the expression in the numerator and the denominator.
$m = \frac{3 +}{-1 +2}$

STEP 5

Calculate the values in the numerator and the denominator.
$m = \frac{8}{1}$

STEP 6

Finally, calculate the slope.
$m =8$ The slope of the line passing through the points $(-2,-5)$ and $(-1,3)$ is8.

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