Question

5)
equation
ordered pair = (2,4)
ordered pair = (1,0)
slope (m) =
y-intercept = - 4

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Here, the two points are \((2, 4)\) and \((1, 0)\), so let \((x_1, y_1)=(1, 0)\) and \((x_2, y_2)=(2, 4)\).

$$ m=\frac{4 - 0}{2 - 1} $$

Step2: Calculate the slope

Simplify the numerator and denominator: \( 4 - 0 = 4 \) and \( 2 - 1 = 1 \), so \( m = \frac{4}{1}=4 \).

Step3: Use slope - intercept form

The slope - intercept form of a line is \( y=mx + b \), where \( m \) is the slope and \( b \) is the \( y \) - intercept. We know \( m = 4 \) and \( b=-4 \), so substitute these values into the formula:

$$ y = 4x-4 $$

Answer:

• Slope (\( m \)): \( 4 \)
• Equation: \( y = 4x - 4 \)