Question

marcella plots two ordered pairs on the given grid.
the line segment is extended to cross both axes. what is
the location of the y - intercept on the line?
(0, - 10)
(0,5)
(0, - 5)
(0, - 22)

Explanation:

Step1: Find the slope of the line

The formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Given two points \((x_1,y_1)=(6,2)\) and \((x_2,y_2)=(8,6)\), then \(m=\frac{6 - 2}{8 - 6}=\frac{4}{2} = 2\).

Step2: Use the point - slope form \(y - y_1=m(x - x_1)\)

Using the point \((6,2)\) and \(m = 2\), we have \(y-2=2(x - 6)\).

Step3: Simplify to slope - intercept form \(y=mx + b\)

Expand \(y-2=2x-12\), then \(y=2x-10\).

Answer:

\((0,-10)\)