Question

2. What is the equation of the line parallel to the line whose

Answer 1

Step-by-step explanation:

Paralle lines have the same slope.

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

We have

$5y+9=-2x$

Convert to the slope-intercept form:

$5y+9=-2x$           subtract 9 from both sides

$5y=-2x-9$         divide both sides by 5

$y=-\dfrac{2}{5}x-\dfrac{9}{5}\to m=-\dfrac{2}{5}$

Each of the answers to choose from is not the line equation sought.

The equation:

$y=-\dfrac{2}{5}x+b$ where b is any real number.