Find an equation for each of the lines described below.

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

   Hint (a):

   Use slope-intercept form.

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

   Hint (b):

   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 $(1,7)$.

   Hint (c):

   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.

   Hint (d):

   Remember the trigonometric relationships.

   More Help (d):

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