Final answer:
To write an equation in slope-intercept form, isolate the y variable and use the standard form y = mx + b, where m is the slope and b is the y-intercept.
Step-by-step explanation:
To write an equation in slope-intercept form, we want to follow option A: By isolating the y variable on one side of the equation. The standard form of the slope-intercept equation is y = mx + b, where m represents the slope and b represents the y-intercept. The slope, m, tells us how steep the line is, and the y-intercept, b, indicates the point where the line crosses the y-axis.
For example, if we know the slope of a line is 3 and it crosses the y-axis at 9, the equation of the line in slope-intercept form will be y = 3x + 9, with the slope (m) being 3 and the y-intercept (b) being 9. This line will rise 3 units for every 1 unit it moves horizontally. Specifying the slope and y-intercept uniquely identifies the line on a graph.