### Home > A2C > Chapter 7 > Lesson 7.1.4 > Problem 7-56

7-56.

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

The line with slope

that goes through the point (0, 5). The line parallel to

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

*y*= 2*x*− 5 that goes through the point (1, 7).The line that goes through the point (0, 0) so that the tangent of the angle it makes with the

*x*-axis is 2.

Use slope-intercept form.

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

The slopes of perpendicular lines are opposite reciprocals.

Remember the trigonometric relationships.

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