Question

my assignments
college algebra
course: college algebra > unit 2
unit test
due feb 17, 12:59 am
unit test
graphs and forms of linear equations
math > college algebra > graphs and forms
unit test
graph $y = -\frac{1}{3}x + 5$.

Explanation:

Step1: Identify slope and y-intercept

The equation is in slope-intercept form $y=mx+b$, where $m=-\frac{1}{3}$ (slope) and $b=5$ (y-intercept).

Step2: Plot y-intercept point

The y-intercept is at $(0, 5)$; mark this point on the graph.

Step3: Use slope to find second point

Slope $\frac{\Delta y}{\Delta x}=-\frac{1}{3}$, so from $(0,5)$, move 3 right and 1 down to $(3, 4)$, or 3 left and 1 up to $(-3, 6)$. Mark $(3, 4)$.

Step4: Draw line through points

Connect the two plotted points with a straight line, extending it across the grid.

Answer:

A straight line passing through the points $(0, 5)$ and $(3, 4)$ (and extending infinitely in both directions) matches the graph of $y = -\frac{1}{3}x + 5$.