SOLUTION: please answer my question: write the equation of a line that is parallel to y = 2/3x - 2 and passes through (2,1), in slope-intercept form.....thankyou, please answer my question

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: please answer my question: write the equation of a line that is parallel to y = 2/3x - 2 and passes through (2,1), in slope-intercept form.....thankyou, please answer my question      Log On


   

Question 176418: please answer my question: write the equation of a line that is parallel to y = 2/3x - 2 and passes through (2,1), in slope-intercept form.....thankyou, please answer my question
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have slopes that are identical.
Your first line is in slope-intercept form.
y+=+%282%2F3%29x-2
Its slope is 2/3.
To find the equation of the second line, use the point-slope form of a line,
y-y%5Bp%5D=m%28x-x%5Bp%5D%29
y-1=%282%2F3%29%28x-2%29
Re-arrange the equation to slope-intercept form,
y=%282%2F3%29x-4%2F3%2B1
y=%282%2F3%29x-1%2F3
.
.
.
Graph the lines to verify the solution.