A linear function is a mathematical equation that represents a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
To graph a linear function, you need to plot two or more points on the coordinate plane and then connect them with a straight line. You can also use the slope and y-intercept to determine additional points to plot.
The slope of a linear function is a measure of the steepness of the line. It is represented by the letter m and can be calculated by dividing the change in the y-coordinates by the change in the x-coordinates between two points on the line.
The y-intercept of a linear function is the point where the line crosses the y-axis. It is represented by the letter b and can be found by identifying the y-coordinate when x = 0 in the equation y = mx + b.
Linear functions can be used to make predictions by plugging in a given x-value into the equation and solving for y. This will give you the expected y-value or output for that input. Additionally, you can use the slope to determine the rate of change and make predictions for future values.