Question

what is an equation of the line that passes through the points (0, -6) and (1, 0)?

Explanation:

Step1: Find the slope (m)

The slope formula is \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Using points \((0, -6)\) as \((x_1, y_1)\) and \((1, 0)\) as \((x_2, y_2)\), we get \( m = \frac{0 - (-6)}{1 - 0} = \frac{6}{1} = 6 \).

Step2: Use slope - intercept form (\(y = mx + b\))

The y - intercept (\(b\)) is the y - value when \(x = 0\). From the point \((0, -6)\), \(b=-6\). Substituting \(m = 6\) and \(b=-6\) into \(y=mx + b\), we get \(y = 6x-6\).

Answer:

\(y = 6x-6\)