Understanding the Slope-Intercept Form | Equation of a Straight Line, Slope, and Y-Intercept

Slope-intercept form for equation of a line.

The slope-intercept form is a popular way to represent the equation of a straight line

The slope-intercept form is a popular way to represent the equation of a straight line. It is written in the form:

y = mx + b

Where:
– y is the dependent variable or the output
– x is the independent variable or the input
– m is the slope of the line
– b is the y-intercept, which is the point where the line crosses the y-axis

In this form, the equation tells us that the output y can be found by multiplying the input x by the slope m and adding the y-intercept b.

The slope (m) represents the rate of change of the line and it determines whether the line goes up or down. A positive slope means the line goes up from left to right, while a negative slope means the line goes down.

The y-intercept (b) is the value of y when x is equal to zero. It indicates the starting point of the line on the y-axis.

Using this form, we can easily plot the line on a graph by starting at the y-intercept and then using the slope to find additional points. It is also useful for finding the equation of a line when you know its slope and y-intercept.

For example, if we have an equation y = 2x + 3, the slope is 2, which means for every increase of 1 in x, y increases by 2. The y-intercept is 3, indicating that the line crosses the y-axis at the point (0, 3).

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