Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Oct 23, 2023

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

STEP 1

Assumptions1. We have two points in the Cartesian coordinate system (-,1) and (3,). . We need to find the slope of the line that passes through these two points.
3. The formula to calculate the slope between two points (x1, y1) and (x, y) is given by $\text { Slope } = \frac{y - y1}{x - x1}$

STEP 2

Let's identify the coordinates of the two points. We havePoint1 (-2,1) => x1 = -2, y1 =1Point2 (,2) => x2 =, y2 =2

STEP 3

Now, we can substitute these values into the slope formula.
$\text { Slope } = \frac{y2 - y1}{x2 - x1} = \frac{2 -1}{3 - (-2)}$

STEP 4

implify the expression in the numerator and the denominator.
$\text { Slope } = \frac{1}{}$ So, the slope of the line that passes through the points (-2,1) and (3,2) is1/.

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