### Home > CCA2 > Chapter 6 > Lesson 6.1.4 > Problem6-56

6-56.

Find an equation for each of the lines described below. Homework Help ✎

1. The line with slope $\frac { 1 } { 3 }$ that goes through the point $(0,5)$.

Use slope-intercept form.

2. The line parallel to $y=2x−5$ that goes through the point $(1,7)$.

Parallel lines have the same slope. Use the point-slope form of the equation of a line.

3. The line perpendicular to $y=2x−5$ that goes through the point $(1,7)$.

The slopes of perpendicular lines are opposite reciprocals.

For example, $\frac{a}{b}$ and $-\frac{b}{a}.$

4. The line that goes through the point $(0,0)$ so that the tangent of the angle it makes with the x-axis is 2.

Remember the trigonometric relationships.

How might tangent's relationship to the opposite and adjacent sides relate to the rise and run of the slope?