Question

graph the line.
y = -2x

Explanation:

Step1: Identify the slope and y-intercept

The equation \( y = -2x \) is in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. Here, \( m = -2 \) and \( b = 0 \), so the line passes through the origin \((0,0)\).

Step2: Find another point

Use the slope to find a second point. The slope \( -2 \) means for every 1 unit we move to the right (increase \( x \) by 1), we move down 2 units (decrease \( y \) by 2). From \((0,0)\), moving right 1 unit and down 2 units gives the point \((1, -2)\). We can also use \( x = -1 \): \( y = -2(-1) = 2 \), so the point \((-1, 2)\) is also on the line.

Step3: Plot the points and draw the line

Plot the points \((0,0)\), \((1, -2)\), and \((-1, 2)\) on the coordinate plane. Then draw a straight line through these points, extending in both directions.

Answer:

To graph \( y = -2x \), plot the origin \((0,0)\), then use the slope \(-2\) to find other points (e.g., \((1, -2)\), \((-1, 2)\)) and draw a straight line through them.