SOLUTION: Choose the equation of the line that passes through the point (3, 8) and has a slope of 8/9. Please show steps. Thank you.

Algebra ->  Graphs -> SOLUTION: Choose the equation of the line that passes through the point (3, 8) and has a slope of 8/9. Please show steps. Thank you.      Log On


   



Question 762088: Choose the equation of the line that passes through the point (3, 8) and has a slope of 8/9.
Please show steps. Thank you.

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Use the point-slope formula:

y - y1 = m(x - x1)
where (x1,y1) = (3,8)
and m = 8%2F9

y - 8 = 8%2F9(x - 3)

Multiply both sides by 9

9y - 72 = 8(x - 3)
9y - 72 = 8x - 24
-8x + 9y = 48

 8x - 9y = -48

That's the general form.

Or,

y - 8 = 8%2F9(x - 3)
y - 8 = 8%2F9x - 3·8%2F9
y - 8 = 8%2F9x - 8%2F3  
    y = 8%2F9x - 8%2F3 + 8
    y = 8%2F9x - 8%2F3 + 24%2F3
    y = 8%2F9x + 16%2F3

That's the slope-intercept form.

Edwin