Question

subtract in the numerator and denominator to find the slope of line e.
slope = \frac{vertical distance}{horizontal distance} = \frac{change in y-values}{change in x-values}
= \frac{4 - 2}{8 - 4}
= \frac{\square}{\square}

Explanation:

Step1: Calculate numerator

Subtract the y - values: \(4 - 2=2\)

Step2: Calculate denominator

Subtract the x - values: \(8 - 4 = 4\)

Step3: Simplify the fraction

Simplify \(\frac{2}{4}\) to \(\frac{1}{2}\) (though the problem just asks for the numerator and denominator after subtraction first, but the final slope simplification is also a good check). For the blanks, the numerator is \(2\) and the denominator is \(4\).

Answer:

Numerator: \(2\), Denominator: \(4\) (and the slope simplifies to \(\frac{1}{2}\))