Question

Which line is parallel to the line 5x – 2y = 18?

Answer 1

Answer:

$D.\ y = \frac{5}{2} - 4$

Step-by-step explanation:

Given

$5x - 2y = 18$

Required

Determine parallel line

First, we need to convert the equation to slope intercept form

$5x - 2y = 18$

$- 2y = 18 - 5x$

Make y the subject:

$y = \frac{18}{-2} - \frac{5x}{-2}$

$y = -9 + \frac{5}{2}x$

$y = \frac{5}{2}x - 9$

The general form of an equation is:

$y=mx + b$

Where

$m = slope$

By comparison:

$m = \frac{5}{2}$

From the condition of parallel equation.

A parallel equation will have an equal slope of $\frac{5}{2}$

From the list of given options, option D has a slope of $\frac{5}{2}$