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Which of the following expressions describes a line parallel to 5y=x+2

a) 2x-10y=8
b) x-10y=15
c) 2x+8y=9
d)6y=x+5

1 Answer

4 votes

Answer:

d) 6y=x+5

Explanation:

To find if two linear equations are parallel, their slopes* (x) have to be the same, and their y intercepts** have to be different.

5y=x+2 is parallel to the equation,
6y=x+5 because the slope is the same and the y intercept is different.

*The slope in an equation is the x value.

Example 1: 2y=6x+3
In this equation, 6x is the slope of the line.

Example 2: y=3x+4
In this equation 3x is the slope.

**The y intercept of an equation is the number without a letter in front.

Example 1: 3y=2x +6
In this equation the 6 would be the y intercept.

Example 2: y=4x+7
The y intercept in this equation is 7.

Hope this helps!

User Tarasovych
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