### Home > INT1 > Chapter 3 > Lesson 3.1.6 > Problem3-69

3-69.

On graph paper, graph the line through the point $(0, –2)$ with a slope of $\frac { 4 } { 3 }$.

1. Write the equation of the line.

2. Translate the graph of the line up $4$ units and to the right $3$ units. What is the result? Write the equation for the resulting line.

• The resulting line coincides with the original line.

1. Now translate the original graph down $5$ units. What is the result? Write the equation for the resulting line.

The image is parallel

2. How are the three lines you graphed related to each other? Justify your conclusion.

The three lines are parallel, as their slopes are all the same value.

3. Write the equation of a line that is perpendicular to these lines and passes through point $(12, 7)$.

A perpendicular line has a slope that is the negative reciprocal of the slope of the original line.

$y=\frac{-3}{4}x+16$

Use the eTool below to to complete the graph and solve parts (a - e).
Click the link at right for the full version of the eTool: 3-69 HW eTool