Question

equation
ordered pair = (3,0)
ordered pair = (-3,2)
slope (m) =
y-intercept = 1

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Let \((x_1, y_1)=(3,0)\) and \((x_2, y_2)=(-3,2)\).

Step2: Substitute values into formula

Substitute \( x_1 = 3 \), \( y_1 = 0 \), \( x_2=-3 \), \( y_2 = 2 \) into the slope formula: \( m=\frac{2 - 0}{-3 - 3}=\frac{2}{-6}=-\frac{1}{3} \).

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 \( m =-\frac{1}{3} \) and \( b = 1 \), so the equation of the line is \( y=-\frac{1}{3}x + 1 \).

Answer:

• Equation: \( y =-\frac{1}{3}x + 1 \)
• Slope (\( m \)): \( -\frac{1}{3} \)