Final answer:
Equations in point-slope form do not always provide the y-intercept directly; they clearly indicate the slope but require additional steps to find the y-intercept. Slope-intercept form, however, does provide both the slope and y-intercept clearly.
Step-by-step explanation:
The statement about equations written in point-slope form always providing the slope and y-intercept is false. Point-slope form equations are generally written as y - y1 = m(x - x1), where m is the slope and (x1, y1) is a specific point on the line. While this form explicitly provides the slope, it does not provide the y-intercept directly; the y-intercept can only be determined after further algebraic manipulation to put the equation into slope-intercept form, which is y = mx + b, where b represents the y-intercept.
Using Figure A1 as an example, which showcases a linear equation graph where the y-intercept is 9 and the slope is 3, it can be illustrated that specifying a y-intercept and a slope, that is, specifying b and m in the equation for a line, will identify a specific line. However, point-slope form only specifies the slope directly, while slope-intercept form identifies both the slope and y-intercept clearly.