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Question 465790: What is the equation of the line that passes through the point (3, 2) and has a slope of 4?
Found 3 solutions by kingme18, solver91311, richard1234:
Answer by kingme18(98)   (Show Source):
You can put this solution on YOUR website! I'm going to show you 2 ways to do this.
One is to use slope-intercept form:  , where m is the slope and b is the y-intercept. We know the slope for this problem: m = 4. Since every point on the line would work in the equation, we could use your point (3, 2) as (x, y) to solve for b. So, instead of , we can say  , and solve for b by multiplying 4*3:  , then subtracting 12 on both sides to get b by itself:  . Plug that back into . Remember that for the equation, we want the y and the x to still be there--don't use your (3, 2) since that was just one possible point that works. Your final answer is  .
Another way to do it is to use point-slope form:  .  and  represent the point you're using; in your case,  and  . 4 is still m. The nice thing about using this formula is that you don't have to go back and plug in--once you simplify this, you're done! Plug in your numbers:  . The first step to simplify is to distribute the 4:  . To finish getting y by itself, add 2 to both sides: .
No matter how you do this, your final answer is .
Answer by solver91311(24713)  (Show Source):
Answer by richard1234(7193)  (Show Source):
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