Question

what is the slope of this line? the coordinate grid has a line passing through (-5, -3) and (5, 3).

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the two points

From the graph, we have two points: \((-5, -3)\) and \((5, 3)\). Let \((x_1, y_1)=(-5, -3)\) and \((x_2, y_2)=(5, 3)\).

Step3: Substitute into the formula

Substitute the values into the slope formula:
\( m=\frac{3 - (-3)}{5 - (-5)}=\frac{3 + 3}{5 + 5}=\frac{6}{10} \).

Step4: Simplify the fraction

Simplify \(\frac{6}{10}\) by dividing numerator and denominator by their greatest common divisor, which is 2. So, \(\frac{6\div2}{10\div2}=\frac{3}{5}\).

Answer:

\(\frac{3}{5}\)