Question

5 find the slope of the line when given two points: (7, -3), (-9, -15)

Explanation:

Step1: Recall the 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 coordinates

Let \( (x_1, y_1)=(7, - 3) \) and \( (x_2, y_2)=(-9, - 15) \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{-15-(-3)}{-9 - 7} \).

Step4: Simplify the numerator and denominator

Simplify the numerator: \( -15-(-3)=-15 + 3=-12 \).
Simplify the denominator: \( -9 - 7=-16 \).

Step5: Reduce the fraction

Now we have \( m = \frac{-12}{-16}=\frac{3}{4} \) (dividing both numerator and denominator by - 4).

Answer:

\(\frac{3}{4}\)