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Write an equation for a line parallel to x+15=-5y passing through (0,4)

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Parallel lines have the same slope, First, you need to find the slope of the given line, then use that slope for the new line. To find the slope of the given line, solve x + 15 = -5y for y. Then put it in slope-intercept form, which is y = mx + b. m is the slope. Second, the equation of a line with slope m that passes through point (x1, y1) is y - y1 = m(x - x1) Try it, and ask for help if you need it.
Thanks,I need help putting x=15=-5y into slope intercept form
First, switch the sides, so you start with -5y on the left side.

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Next, the only thing happening to the y is that it is being multiplied by -5. How do you undo a multiplication?
\[x+15 = -5y\]Divide both sides by -5 to give\[-\frac{x}{5} -3 = y\]Now switch the sides.
Umm I think that by dividing?? So will that mean that I'm dividing 15 by -5y??
Correct, divide both sides by -5
So then what will happen next to the x??
-5y = x + 15 Divide -5y by -5 Divide x by -5 Divide 15 by -5
OK I got -5-3=y ..?..?..?
wait wait! I checked it and it actually its suppose to be y=-1/5-3
-5y/(-5) = x/(-5) + 15/(-5) y = -(1/5)x - 3
Remember to include the x on the right side.
Since the original equation is now written in slope-intercept form, y = mx + b, you can read the slope directly. It's the number multiplying x, which is m. m = ?
m=4 so then that will mean that the final answer will be y=-1/5x+4 xD
Where did you get a 4 from y = -(1/5)x - 3?
Remember, the slope-intercept form is y = mx + b, where m, the number multiplying x, is the slope.
ohh ok then my bad
What is m, the slope?
Correct. Now you know the given line has a slope of -1/5. The line that is parallel to it also has that slope becasue parallel lines have equal slopes. Now we start on the second part of this problem. What is the equation of the line that has slope -1/5 and passes through (0, 4)?
4=-1/5(0)+b which will then turn into 4=0+b
In the slope-intercept form of the equation of a line, y = mx + b, m = slope (you already know this) b = the y-intercept Correct. b = 4, since the point you were given, (0, 4) is on the y-axis, so that is the y-intercept.
Then I will do inverse operation and subtract 0 from both sides making it be 4=b
Now you know your new equation has m = -1/5 and b = 4. All you need to do is write y = mx + b and replace m with -1/5 and b with 4
Correct, b = 4
and it will end up being y=-1/5x+4
You are correct. Great work!
OMG thank you so much your the best!!=D will you mind helping me with another type of problem.I have a quiz on Wednesday and I'm practicing right now.
I certainly will help. Just pls start a new post.
OK then (:

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