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

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mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1Parallel 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 slopeintercept 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.

ineedyouubiebs
 3 years ago
Best ResponseYou've already chosen the best response.1Thanks,I need help putting x=15=5y into slope intercept form

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1First, switch the sides, so you start with 5y on the left side.

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1Next, the only thing happening to the y is that it is being multiplied by 5. How do you undo a multiplication?

whpalmer4
 3 years ago
Best ResponseYou've already chosen the best response.0\[x+15 = 5y\]Divide both sides by 5 to give\[\frac{x}{5} 3 = y\]Now switch the sides.

ineedyouubiebs
 3 years ago
Best ResponseYou've already chosen the best response.1Umm I think that by dividing?? So will that mean that I'm dividing 15 by 5y??

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1Correct, divide both sides by 5

ineedyouubiebs
 3 years ago
Best ResponseYou've already chosen the best response.1So then what will happen next to the x??

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.15y = x + 15 Divide 5y by 5 Divide x by 5 Divide 15 by 5

ineedyouubiebs
 3 years ago
Best ResponseYou've already chosen the best response.1OK I got 53=y ..?..?..?

ineedyouubiebs
 3 years ago
Best ResponseYou've already chosen the best response.1wait wait! I checked it and it actually its suppose to be y=1/53

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.15y/(5) = x/(5) + 15/(5) y = (1/5)x  3

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1Remember to include the x on the right side.

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1Since the original equation is now written in slopeintercept form, y = mx + b, you can read the slope directly. It's the number multiplying x, which is m. m = ?

ineedyouubiebs
 3 years ago
Best ResponseYou've already chosen the best response.1m=4 so then that will mean that the final answer will be y=1/5x+4 xD

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1Where did you get a 4 from y = (1/5)x  3?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1Remember, the slopeintercept form is y = mx + b, where m, the number multiplying x, is the slope.

ineedyouubiebs
 3 years ago
Best ResponseYou've already chosen the best response.1ohh ok then my bad

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1359263289699:dw

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1359263320161:dw

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1What is m, the slope?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1Correct. 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)?

ineedyouubiebs
 3 years ago
Best ResponseYou've already chosen the best response.14=1/5(0)+b which will then turn into 4=0+b

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1In the slopeintercept form of the equation of a line, y = mx + b, m = slope (you already know this) b = the yintercept Correct. b = 4, since the point you were given, (0, 4) is on the yaxis, so that is the yintercept.

ineedyouubiebs
 3 years ago
Best ResponseYou've already chosen the best response.1Then I will do inverse operation and subtract 0 from both sides making it be 4=b

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1Now 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

ineedyouubiebs
 3 years ago
Best ResponseYou've already chosen the best response.1and it will end up being y=1/5x+4

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1You are correct. Great work!

ineedyouubiebs
 3 years ago
Best ResponseYou've already chosen the best response.1OMG 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.

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1I certainly will help. Just pls start a new post.
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