LCKurtz said:Make a table of values. For x = 0 y = ? x = 1, y = ? etc. then plot it.
davie08 said:ya but for this one wouldn't x just be undefined since its not given and then it would just be a horizontal line through y=5.
A linear function is a mathematical function that can be represented by a straight line. It follows the form y = mx + b, where m is the slope and b is the y-intercept. The slope determines how steep the line is, and the y-intercept is the point where the line crosses the y-axis.
To sketch a graph of a linear function, you need to plot at least two points on the coordinate plane and then connect them with a straight line. You can find these points by plugging in different x-values into the function and solving for the corresponding y-values. Alternatively, you can use the slope-intercept form (y = mx + b) to determine the y-intercept and use the slope to find additional points.
The slope is a crucial component of a linear function graph as it determines the steepness of the line. A positive slope indicates an upward-sloping line, while a negative slope indicates a downward-sloping line. The magnitude of the slope also represents the rate of change of the function, where a larger slope indicates a steeper change.
The y-intercept is the point where the line crosses the y-axis on the graph. To determine the y-intercept, you can either read the value directly from the graph or use the slope-intercept form (y = mx + b) and substitute in the x-value of 0 to solve for b.
Yes, a linear function graph can have a negative slope and a positive y-intercept. This would result in a downward-sloping line that intersects with the y-axis above the origin. The slope and y-intercept of a linear function are independent of each other, meaning one can be positive while the other is negative.