Question

equation
ordered pair = (-4,-3)
ordered pair = (-2,0)
slope (m) =
y-intercept = 3
equation
ordered pair = (-4,-3

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Given points \((-4, -3)\) and \((-2, 0)\), let \((x_1, y_1)=(-4, -3)\) and \((x_2, y_2)=(-2, 0)\).

Step2: Calculate slope

Substitute into the formula: \( m=\frac{0 - (-3)}{-2 - (-4)}=\frac{0 + 3}{-2 + 4}=\frac{3}{2} \).

Step3: Use slope - intercept form

The slope - intercept form of a line is \( y=mx + b \), where \( b \) is the y - intercept. We know \( m = \frac{3}{2} \) and \( b = 3 \).
So the equation is \( y=\frac{3}{2}x+3 \).

Answer:

Slope \( m=\frac{3}{2} \), Equation \( y = \frac{3}{2}x+3 \)