What is the equation of a line in slope-intercept form?

• A. y = mx + b
• B. y = bx + m
• C. y = mx - b
• D. y = b + mx

Answer: (A)

The equation of a line in slope-intercept form is represented as y = mx + b, where "m" denotes the slope of the line, indicating how steep the line is, and "b" signifies the y-intercept, which is the point at which the line crosses the y-axis.

This format makes it easy to identify both the slope and the y-intercept directly from the equation. The slope "m" tells us how much y changes for a one-unit increase in x, while the y-intercept "b" gives the specific value of y when x is zero. This structure is fundamental in algebra and provides a straightforward way to graph linear equations by first plotting the y-intercept and then using the slope to find additional points on the line.

The other options do not conform to the standard slope-intercept form, making them incorrect representations of a linear equation.