Write the equation of the line that is parallel to the line 3x - y = -3 and passes through the point (4, -2).
@megangray32
@satellite73
@mathslover
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Please.
Ok, in order to solve this, you need to know a couple of different things. First of all, what does it mean when two lines are parallel? Something about them is identical. Do you know what it is?
No contact i the lines?
That's correct. The lines will never cross or touch or ever come any closer or get any farther away because their slopes are identical. They will go on into forever and their distance in regards to one another will never change. The second thing, do you the slope-intercept form of a line?
Not exactly.
y = mx + b. Does that look familiar?
Yeah... is it like X remains unsolved and you need to solve X?
I mean M.
Do you know what "m" stands for?
The slope.
That's right. so like I said earlier, in order for 2 lines to be parallel to one another, their slopes have to be identical. So THAT means the first thing we need to do is find out what the slope is of the line they gave you. That's why I asked you about the slope-intercept form of a line. In order to find out what the slope of a line is, you should put it into slope-intercept form. Solve your equation for y. Can you do that? 3x - y = -3. Get y all by itself on the left side of the equals sign.
+3 to each side?
Actually it would be easier to just subtract the 3x from both sides. That way you have y alone. What do you get when you subtract 3x from both sides?
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