Understanding Linear Functions | Exploring the Equation y = -2x and its Slope and Y-Intercept

y = -2x

The equation y = -2x represents a linear function, where y is the dependent variable and x is the independent variable

The equation y = -2x represents a linear function, where y is the dependent variable and x is the independent variable. In this equation, the coefficient of x is -2, which is the slope of the line.

The slope of a line determines how steep or flat the line is. In this case, since the slope is -2, it means that for every increase of 1 in the x-value, the y-value decreases by 2. The negative sign indicates that the line slopes downwards from left to right.

Additionally, the y-intercept is 0, which means that the line passes through the origin (0, 0) since when x = 0, y will also be 0.

By plotting the points on the coordinate plane, you can see that this linear function forms a straight line with a negative slope. The line extends indefinitely in both directions.

Keywords:
– Linear function: A function that represents a straight line when graphed.
– Dependent variable: The variable that is determined or “depends” on the value of another variable.
– Independent variable: The variable that can take any value and is not affected by any other variable.
– Slope: The measure of steepness or incline of a line.
– Y-intercept: The point where a line crosses the y-axis.

More Answers: