Linear Equations & Graphs. Section is Summary: Forms of two-variable linear equation. Exercises in Linear Equations in any form.

Question: Using slope - intercept form. How to select the correct ordered pair to satisfy y=mx+b?

Example from practice questions:

From a graph with points we determined the ordered pairs are (0,2) and (3,-2).   We have the y-intercept, so most comfortable to use slope-intercept form.  dy/dx= -4/3.   y = -4/3x +b.   Please explain why the correct answer is y = -4/3x + 2.  And not y = -4/3x -2.  Thank you for your time