Graphing the Equation y = -2x | Step-by-Step Guide with Examples

y = -2x

The equation y = -2x represents a linear equation in slope-intercept form, where y is the dependent variable, x is the independent variable, and -2 is the slope of the line

The equation y = -2x represents a linear equation in slope-intercept form, where y is the dependent variable, x is the independent variable, and -2 is the slope of the line. In this equation, for every increase of 1 unit in the x-direction, the y-value decreases by 2 units.

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept. In this case, the y-intercept is 0, meaning the line crosses the y-axis at the origin (0,0).

To graph this equation, you can start by plotting the y-intercept at the origin (0,0). Then, use the slope to determine the direction of the line. Since the slope is -2, you can go down 2 units and right 1 unit from the y-intercept to find another point on the line. You can then connect the two points to draw the line.

Here’s a step-by-step process to graph the equation y = -2x:

1. Plot the y-intercept at (0,0).
2. From the y-intercept, go down 2 units and right 1 unit to find another point, such as (1,-2).
3. Connect the two points with a straight line.

The resulting graph will be a straight line that slants downwards from left to right.

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