CPM Homework Help : GC Problem 6-36

On graph paper, graph the line $y=-\frac{3}{2}x+6$ . Name the $x\text{-}$ and $y\text{-intercepts}$ .

Graph:

A good place to start: $(0,6)$ .

Hint:

$\text{slope}=\frac{\Delta y}{\Delta x}=-\frac{3}{2}$

More help:

Look at the graph. Where does the line cross the $x\text{-axis}$ , and where does it cross the $y\text{-axis}$ ?
Start at (0, comma 6). Then go down 3 and to the right 2. Mark a point. Do this again to the x-axis. With 3 points, draw the line.
2 shaded right triangles added to the line with vertices at (0, comma 6), (0, comma 3), (2, comma 3) & for second triangle vertices at (2, comma 3), (2, comma 0), & (4, comma 0), each horizontal leg labeled delta x = 2, each vertical leg labeled delta y = negative 3.