SOLUTION: use the following condition to write an equation in point slope form and slope intercept form. passing through (-2,6) and parallel to the line whose equation is 2x-3y=7

Algebra ->  Systems-of-equations -> SOLUTION: use the following condition to write an equation in point slope form and slope intercept form. passing through (-2,6) and parallel to the line whose equation is 2x-3y=7      Log On


   



Question 681915: use the following condition to write an equation in point slope form and slope intercept form. passing through (-2,6) and parallel to the line whose equation is 2x-3y=7
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with 2x-3y=7
isolate the y variable
2x - 3y + 3y = 7 + 3y
2x = 7 + 3y
2x - 7 = 7 + 3y - 7
3y = 2x - 7
y = %282%2F3%29x+-+%287%2F3%29
...
The slope of this line is 2%2F3 and a parallel line will have the SAME slope.
...
Use the slope and point
y - 6 = 2%2F3(x--2)
y - 6 = %282%2F3%29x+%2B+%282%2F3%29%282%29
y = %282%2F3%29x+%2B+%284%2F3%29+%2B+6
y = %282%2F3%29x+%2B+%284%2F3%29+%2B+6%283%2F3%29
highlight_green%28y+=+%282%2F3%29x+%2B+22%2F3%29