Question 484766: In a coordinate system, how can we get an equation? for example, a slope intersects X at (3,0) & Y at (0,2). whats the equation of line?
A) 2x-3y=6
B) 2x+3y=6
C) 2x+2y=6
D) 2x+3y= -6
E) 3x+2y= -6
explain pls.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! In a coordinate system, how can we get an equation? for example, a slope intersects X at (3,0) & Y at (0,2). whats the equation of line?
:
Using the slope intercept form: y = mx + b
"a slope intersects X at (3,0)"
m(3) + b = 0
3m + b = 0
:
Y at (0,2).
0m + b = 2
b = 2
:
Rewrite the 1st equation, replacing b with 2
3m + 2 = 0
3m = -2
m = 
so our equation is: y = x + 2, in the slope/intercept form
:
But they want it in standard form, so rearrange it to
 x + y = 2
without fractions, so multiply the eq by 3, results:
2x + 3y = 6, (which is (B )
:
:
You can confirm this by substituting the given x and y coordinates
3,0
2(3) + 3(0)= 6
6 = 6
and
0,2
2(0) + 3(2) = 6
6 = 6
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