Final answer:
The equation in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept; for instance, a line with a slope of 3 and y-intercept of 9 is described by the equation y = 3x + 9.
Step-by-step explanation:
The question pertains to the slope-intercept form of a linear equation, which is fundamental in algebra, particularly when dealing with graphing linear equations. When an equation is written in the form y = mx + b, where m represents the slope and b represents the y-intercept, it is easy to graph the line. The slope, m, indicates how steep the line is, and it is calculated by the rise over run, or the change in y over the change in x. The y-intercept, b, is the point where the line crosses the y-axis, which has coordinates (0, b). Using Figure A1 as an example, the line graph has a slope of 3 and a y-intercept of 9, hence the equation of the line in slope-intercept form would be y = 3x + 9.