Question

1)
ordered pair = (4,4)
ordered pair = (1,-2)
equation
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 \((4, 4)\) and \((1, -2)\), so let \((x_1, y_1)=(1, -2)\) and \((x_2, y_2)=(4, 4)\).

Step2: Calculate slope

Substitute into the formula: \( m=\frac{4 - (-2)}{4 - 1}=\frac{4 + 2}{3}=\frac{6}{3}=2 \).

Step3: Find equation of line

The slope - intercept form of a line is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y - intercept. We know that \( m = 2 \) and \( b=-4 \), so the equation is \( y = 2x-4 \).

Answer:

• Slope (\( m \)): \( 2 \)
• Equation: \( y = 2x - 4 \)