Dear Professor Cram:
Find the slope of the line described by the equation: y + x = -3(14 – x/3)
KG, US Navy
KG, thank you for this algebra question. This is a pretty straight-forward question, so here's how we tackle it:
The Slope-Intercept form of the equation of a line is y=mx+b, where m is the slope and b is the y-intercept. If we can put your equation into this format, then we should be able to find m.
- Y + x = -3(14 – x/3)
- Y + x = (-3)(14) – (-3)(x/3)
- Y + x = -42 – (-3x)
- Y + x = -42 + 3x
- Y = 3x -x -42
- Y = 2x – 42
Thus, the slope is 2 and the y-intercept is -42.