QuestionFind the slope of the line through points $(6,9)$ and $(4,5)$ using the slope formula. What is the slope?

Studdy Solution

STEP 1

Assumptions1. We have two points in the Cartesian plane $(6,9)$ and $(4,5)$ . . We are using the slope formula to find the slope of the line passing through these points. The slope formula is given by $m = \frac{y - y1}{x - x1}$ where $(x1, y1)$ and $(x, y)$ are the coordinates of the two points and $m$ is the slope of the line.

STEP 2

Let's assign the coordinates of the points to the variables in the slope formula. We'll let $(x1, y1) = (6,9)$ and $(x2, y2) = (4,5)$ .

STEP 3

Now, we substitute these values into the slope formula.
$m = \frac{5 -9}{ -6}$

STEP 4

Perform the subtraction in the numerator and denominator.
$m = \frac{-4}{-2}$

STEP 5

implify the fraction to find the slope.
$m =2$ The slope of the line through the points $(,9)$ and $(4,5)$ is2. So, the correct choice is A. The slope of the line is2.

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