Answer: a. 2x - 10y = 8
Step-by-step explanation:
Two lines are said to be parallel if they have equal slope.
Consider the equation of the line in slope - intercept form
[tex]y = mx + c[/tex]
where m is the slope and c is the y - intercept
The equation of the line given is
[tex]5y = x + 2[/tex]
To find its gradient , we will make y the subject of the formula , that is
[tex]y = \frac{x}{5} +\frac{2}{5}[/tex]
This means that the slope is [tex]\frac{1}{5}[/tex], any line that is parallel to this line must have a slope of [tex]\frac{1}{5}[/tex].
Checking each of the equations given one after the order.
a. 2x - 10y = 8
10y = 2x - 8
y = 2x/10 - 8/10
y = x/5 - 4/5
slope = 1/5
b. 1-10y = 15 ........ it has no slope
c. 2x + 8y = 9
8y = -2x + 9
y = -2x/8 + 9/8
y = -x/4 + 9/8
slope = -1/4
