Education Quality and Accountability Office (EQAO) Grade 9 Practice Exam

To write an equation in slope-intercept form, use y = mx + b, where m is the slope and b is the y-intercept. Here the slope m is 3, so start with y = 3x + b. Since the line passes through the point (2, 5), substitute x = 2 and y = 5: 5 = 3(2) + b, which gives 5 = 6 + b. Solving for b gives b = -1. Put it back into the equation: y = 3x - 1. This equation indeed passes through (2, 5) because 5 = 3(2) - 1 = 5.