Question

name janixah green id reserved. date 12/19/25 period 4 2) y = -4x coordinate grid with x from -6 to 6 and y from -6 to 6

Explanation:

Step1: Identify the type of equation

The equation \( y = -4x \) is a linear equation in the form \( y = mx + b \), where \( m = -4 \) (slope) and \( b = 0 \) (y - intercept). So, the line passes through the origin \((0,0)\).

Step2: Find another point

To graph the line, we can find another point. Let's take \( x = 1 \). Substitute \( x = 1 \) into the equation \( y=-4x \), we get \( y=-4\times1=-4 \). So, the point \((1, - 4)\) is on the line.

Step3: Plot the points and draw the line

Plot the points \((0,0)\) and \((1, - 4)\) (or other points like when \( x=-1 \), \( y = 4\), so \((-1,4)\) can also be used) on the coordinate plane and then draw a straight line passing through these points.

Answer:

To graph \( y=-4x \):

1. Recognize it's a linear equation with slope \(-4\) and y - intercept \(0\) (passes through \((0,0)\)).
2. Find another point: For \( x = 1\), \( y=-4\) (point \((1, - 4)\)); for \( x=-1\), \( y = 4\) (point \((-1,4)\)).
3. Plot \((0,0)\) and one of the other points (e.g., \((1, - 4)\) or \((-1,4)\)) and draw a straight line through them.