Final answer:
To rearrange literal equations to slope-intercept form, identify the knowns, solve for the unknowns, substitute values with units, and ensure the solution is reasonable. The slope (b) measures the line's steepness, and the y-intercept (a) is where the line crosses the y-axis.
Step-by-step explanation:
To practice rearranging literal equations from standard form to slope-intercept form, let's consider the process:
1. Make a list of what is given or can be inferred from the problem (identify the knowns).
2. Solve the appropriate equation or equations for the quantity to be determined (the unknown).
3. Substitute the known values, with their units, into the appropriate equation to obtain numerical solutions.
4. Check if your answer is reasonable and makes sense.
For slope and y-intercept of a linear equation y = a + bx, b is the slope, and a is the y-intercept. The slope is a measure of the steepness of a line, and the y-intercept is the point where the line crosses the y-axis. For example, for the equation y = 3x + 9, the slope would be 3, indicating a rise of 3 units on the y-axis for every 1 unit increase on the x-axis. The y-intercept would be 9, the point at which the line crosses the y-axis.