SOLUTION: Ok I have problems that me and my mom can't understand.I know its probably easy to understand but here they are: Find the equation of the line described below.Write the equation

Algebra ->  Graphs -> SOLUTION: Ok I have problems that me and my mom can't understand.I know its probably easy to understand but here they are: Find the equation of the line described below.Write the equation      Log On


   

Question 136162: Ok I have problems that me and my mom can't understand.I know its probably easy to understand but here they are:
Find the equation of the line described below.Write the equation in general form.
1)The Line passing through point (2,4), parallel to y=x



I Hope that you can help me....Thanks
Found 2 solutions by vleith, solver91311:
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
What is the slope of the line y=x ??? remember y+=+mx+%2Bb form of a line? so that slope is 1
What do you know about the slope of parallel lines? The slope of parallel lines are equal. So the slope of the line we are looking for is 1.
Now use the point/slope format for a line to find the second line.
%28y+-+Y%29+=+m%28x+-X%29
%28y+-+4%29+=+1%2A%28x+-+2%29
%28y+-+4+%29+=+%28x+-+2%29
y+=+x+%2B+2
graph%28600%2C400%2C-10%2C10%2C-10%2C10%2Cx%2Cx+%2B2%29

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Lines are parallel if and only if their slopes are equal.

y=x is in slope-intercept form y=mx%2Bb with m=1 and b=0, so the slope of your given line is 1.

Now you have a given point, (2, 4), and a slope, 1.

Use the point-slope form of a line to derive the desired equation:

y-y%5B1%5D=m%28x-x%5B1%5D%29 where m is the slope, x%5B1%5D and y%5B1%5D are the coordinates of the given point.

Once you have substituted the given values, use standard algebraic methods to put the result into standard form, which is ax%2Bby=c