Question

7)
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 \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Let \((x_1, y_1)=(1, 0)\) and \((x_2, y_2)=(2, - 4)\).

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

Step2: 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 \( b = 4 \) (from the given y - intercept). So the equation of the line is \( y=-4x + 4 \).

Answer:

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