Question 279718: Hi there. I have been working 15x+5y=10 for quite some time now. Please help with plotting it on a graph. I am getting (1,5) and (3,-10) and it's not the right answer. Thanks in advance.
Found 2 solutions by CharlesG2, josmiceli:
Answer by CharlesG2(834)   (Show Source):
You can put this solution on YOUR website! Hi there. I have been working 15x+5y=10 for quite some time now. Please help with plotting it on a graph. I am getting (1,5) and (3,-10) and it's not the right answer. Thanks in advance.
15x + 5y = 10
5y = -15x + 10 (rearranged)
y = -3x + 2 (divided both sides by 5)
since the equation of a line is y=mx+b where m is the slope and b is the y-intercept (vertical intercept or point (0,b)) -->
slope = m = -3
y-intercept = b = 2
check (1,5) to see if it is on the line:
5 = -3(1) + 2
5 = -3 + 2
5 = -1
no that is not true, (1,5) is not on the line
check (3,-10) to see if that is on the line:
-10 = -3(3) + 2
-10 = -9 + 2
-10 = -7
no that is also not true, (3,-10) is also not on the line
what would be on the line?
x=-5 --> y=-3(-5) + 2 = 15 + 2 = 17
x=-1 --> y=-3(-1) + 2 = 3 + 2 = 5
x=0 --> y=-3(0) + 2 = 2 (your y-intercept)
x=1 --> y=-3(1) + 2 = -3 + 2 = -1
x=5 --> y=-3(5) + 2 = -15 + 2 = -13
graphing:
Answer by josmiceli(19441)  (Show Source):
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