Question

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Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Let \((x_1, y_1)=(-2, 3)\) and \((x_2, y_2)=(-1, 0)\).

Step2: Calculate slope

Substitute into the formula: \( m=\frac{0 - 3}{-1 - (-2)}=\frac{-3}{1}=-3 \).

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 \( m=-3 \) and \( b = - 3 \) (from the given y - intercept). So the equation is \( y=-3x - 3 \).

Answer:

• Slope (\(m\)): \(-3\)
• Equation: \(y = - 3x-3\)