Precalculus Examples

$(- 3 + \frac{5}{4}, \frac{9}{4})$

Step 1

To write $- 3$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$(- 3 \cdot \frac{4}{4} + \frac{5}{4}, \frac{9}{4})$

Step 2

Combine $- 3$ and $\frac{4}{4}$ .

$(\frac{- 3 \cdot 4}{4} + \frac{5}{4}, \frac{9}{4})$

Step 3

Combine the numerators over the common denominator.

$(\frac{- 3 \cdot 4 + 5}{4}, \frac{9}{4})$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $- 3$ by $4$ .

$(\frac{- 12 + 5}{4}, \frac{9}{4})$

Step 4.2

Add $- 12$ and $5$ .

$(\frac{- 7}{4}, \frac{9}{4})$

Step 5

Move the negative in front of the fraction.

$(- \frac{7}{4}, \frac{9}{4})$

Step 6

The point is located in the second quadrant because $x$ is negative and $y$ is positive. The quadrants are labeled in counter-clockwise order, starting in the upper-right.

Quadrant $2$

Step 7