CPM Homework Help : AC Problem 4-62

Use what you know about $m$ and $b$ to graph each equation below without making a table. Show a growth triangle on each graph and label the $x$ - and $y$ -intercepts. 4-62 HW eTool (Desmos).

$y = 3 − 2x$

$y = 2x$

$y = 3$

$y = -\frac{1}{2}x+ 3$

Step 1(a):

Identify $m$ and $b$ .

Step 2(a):

$m = −2, b = 3$

Step 3(a):

Graph $b$ , the $y$ -intercept.

Step 4(a):

Use $m$ to draw the rest of the line.

Intercepts:

$x$ -intercept = $\left(1.5, 0\right)$
$y$ -intercept = $\left(0, 3\right)$

Hint (b):

This is equivalent to $y = 2x + 0.$
Follow the steps in part (a).

Answer (b):

$x$ -intercept = $\left(0, 0\right)$ $y$ -intercept = $\left(0, 0\right)$

Hint (c):

This is equivalent to $y = 0x+3$ .
Follow the steps in part (a).

Hint (d):

Follow the steps in part (a).

Use the eTool below to graph the equations without making a table.
Click the link at right for the full version of the eTool: AC 4-62 HW eTool