SOLUTION: Please help me solve the following problem; Write the eqation of the line that passes through the point?(2,1) and is parallel to the line with the eqation y=5/2x + 6. I honestly do

Question 51380: Please help me solve the following problem; Write the eqation of the line that passes through the point?(2,1) and is parallel to the line with the eqation y=5/2x + 6. I honestly do not know where to even begin on this.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let's write the required equation of the line in the "slope-intercept" form: Where: m is the slope of the line and b is the y-intercept of the line.
Remember that parallel lines have the same slope.
So, your new line is parallel the the line whose equation is:
Comparing this with the slope-intercept form:
you can see that the slope of this line is and, because the new line is parallel to this, it too will have a slope of .
So, step 1, for the new line, you can write:
Now all you need to do is to find the value of b, the y-intercept of the new line.
You can do this by substituting the x- and y-coordinates of the given point (2, 1) into the equation and solve for b.
Simplify this.
Subtract 5 from both sides of the equation.
You can write the final equation now that you have the slope and the y-intercept :
...and that's it!

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