Question

Manny is trying to write the equation of the line at the left, but not sure which form to put it in. what do you think is the easiest form to put it in? explain your reasoning.

a) slope intercept form
b) point slope form
c) standard form

Answer 1

The slope-intercept form (y = mx + b) is the easiest to use given the known y-intercept of 9 and the slope of 3, resulting in the equation y = 3x + 9. Therefore, the correct answer is Option A.

Step-by-step explanation:

When writing the equation of a line, choosing the most convenient form often depends on the given information. Since we know the y-intercept is 9 and the slope is 3, the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, is the easiest to use in this case. In this form, the equation is y = 3x + 9. This is because the slope-intercept form immediately tells us how the line is positioned on the graph, with its y-intercept indicating where the line crosses the vertical axis and the slope revealing the line's steepness.