SOLUTION: how do you write an equation in slope-intercept form of a line that passes through the origin and (2,3).

Algebra ->  Linear-equations -> SOLUTION: how do you write an equation in slope-intercept form of a line that passes through the origin and (2,3).      Log On


   



Question 75122: how do you write an equation in slope-intercept form of a line that passes through the origin and (2,3).
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
you have 2 sets of points (0,0) & (2,3) thus the slope is
(y2-y1)/(x2-x1)
(3-0)/2-0)
3/2 is the slope.
now supstitute one set of points & solve for the y intercept
3=3/2*2+b
3=3+b
b=3-3
b=0 which is the y intercept
y=3x/2
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+3x%2F2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 3x/2).