Question

3)
equation ____________
ordered pair = __(-2,-4)
ordered pair = __(-1,-1)
slope (m) = ______
y-intercept = 2

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 \((x_1, y_1)=(-2, -4)\) and \((x_2, y_2)=(-1, -1)\).

Step2: Calculate slope

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

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 \( b = 2 \), so the equation is \( y=3x + 2 \).

Answer:

slope (\( m \)) = \( 3 \)
equation: \( y = 3x+2 \)