SOLUTION: The slope of the line y=3x+2 is 2, and the slope of a line 5y+3x=6 is 2. So are they parallel?

Question 702350: The slope of the line y=3x+2 is 2, and the slope of a line 5y+3x=6 is 2. So are they parallel?
Answer by Simnepi(216) (Show Source): You can put this solution on YOUR website!
unfortunately, you are wrong.
The slope of the line y=3x+2 is not 2!
The equation of a straight line is usually written in the form
y=mx+c where m, the number in front of the x, is the slope (the gradient) of the line and c is the intercept (this is where it crosses the y axis on the graph).
So considering the line y=3x+2, the slope is, therefore, 3.
All lines with the same gradient are parallel.
the other line 5y+3x=6 looks like it may be parallel but we have to rearrange the equation into the form y=mx+c to compare them.
So let's rearrange 5y+3x=6!
first move the +3x across the equals sign, changing its sign as we do so
this gives
5y=6-3x.
Already we have a -3x instead of a +3x so these lines are not parallel!
RELATED QUESTIONS
The line y=2/3x+5 has a slope of m=2/3.What is the slope of a line parallel to this... (answered by rfer,Alan3354)

What is the slope of the line parallel to y=... (answered by reviewermath)

Consider the line 3x-5y=-9 What is the slope of a line perpendicular to this line? What (answered by Alan3354)

So I have a question and I'm wondering if its right! Please help. Line AB has a slope... (answered by lwsshak3)

Find the slope of the line 3x - 5y =... (answered by rfer)

i need the slope of the line... (answered by oberobic)

Line 1: -3x-3y=6 The slope of the line is Line 2: 4x+4y=8 The slope of second... (answered by Boreal)

Write the equation of a line in slope-intercept form that is parallel to the line y=3x+2... (answered by jim_thompson5910)

(1)Write the slope- intercept form of the equation of the line through (-1,2)that is... (answered by Nate)