Question

What is the slope of a line parallel 18x+15y=90

Answer 1

`\displaystyle -1(1)/(5)`

Explanation:

`\displaystyle 18x + 15y = 90 \hookrightarrow (15y)/(15) = (-18x + 90)/(15) \\ \\ \boxed{y = -1(1)/(5)x + 6}`

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so −1⅕ remains as is.

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Answer 2

-6/5

Explanation:

Get y by itself to get the slope. So 18x+15y=90. Move 18x to the other side of the equation. Now you have 15y=-18x+90. Divide both sides by 15 to get y by itself. Now it's y= -18/15x + 6. Reduce -18/15 to the simplest fraction. You have y= -6/5x+6. Any number can replace the 6 in the equation to give you a parallel line...it's the slope that makes it parallel, not the y intercept. So y= -6/5x+10 or y=- -6/5x-1 would satisfy your parallel slope equation.