Understanding the Slope-Intercept Formula: A Comprehensive Guide to Graphing Linear Equations

Slope-Intercept Formula

Ex: y= -4/5 – 7. The graph will go up 4, and to the left 5, and the y-intercept will be -7.

The slope-intercept formula is a mathematical equation used to represent a linear equation on a graph. It is in the form of y = mx + b, where m is the slope of the line and b is the y-intercept.

The slope of a line represents the steepness of the line. It is calculated by dividing the change in y-coordinates (vertical change) by the change in x-coordinates (horizontal change) between two points on the line. The slope can be positive, negative, zero, or undefined (in the case of a vertical line).

The y-intercept, represented by the value of b in the equation y = mx + b, is the point at which the line intersects with the y-axis. It is the value of y when x is equal to zero.

To use the slope-intercept formula, we need to know the slope and y-intercept of the given line. Once we have these two values, we can graph the line by plotting the y-intercept as a point on the y-axis and using the slope to determine additional points on the line. We can also use the formula to find the value of y for a given value of x on the line.

The slope-intercept formula is a powerful tool for graphing and analyzing linear equations. It allows us to visualize the relationship between two variables and make predictions about the behavior of the system represented by the equation.

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