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What is the equation of the line that is parallel to the line 6x+3y=4 and has a y-intercept of −6?

User Lital
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1 Answer

5 votes

Answer:

y=-2x-6

Explanation:

Slope intercept form of a line: y=mx+b (m is the slope and b is the y-intercept)

Convert our given line 6x+3y=4 into slope-intercept form to find the slope

Subtract 6x on both sides

3y=-6x+4

Divide 3 on both sides

y=-2x+4/3

The slope of the given line is the coefficient of x, -2

Parallel lines have the same slope, so the equation we're solving for also has a slope of -2

We also know that the y-intercept is -6, so we now have all the info we need to make the equation:

y=-2x-6

User Sean Pearce
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