Final answer:
The equation for a line with slope m and y-intercept (0,b) is y = mx + b. The slope represents the steepness of the line, while the y-intercept is the point where the line crosses the y-axis.
Step-by-step explanation:
The equation for a line in the (x,y)-plane with slope m and y-intercept (0,b) is y = mx + b.
The slope, m, represents the steepness of the line and is found by dividing the rise by the run. The y-intercept, b, is the point where the line crosses the vertical axis, or the y-axis, when x = 0.
For example, if the slope is 2 and the y-intercept is 5, then the equation of the line is y = 2x + 5.