Question 148199: Write the equation of a line whose slope is 6 and whose y intercept is -3.
Found 2 solutions by jim_thompson5910, mangopeeler07:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Since the equation has a y intercept of -3, this means that the equation goes through the point (0,-3).
If you want to find the equation of line with a given a slope of  which goes through the point (0,-3), you can simply use the point-slope formula to find the equation:
---Point-Slope Formula---
 where  is the slope, and ) is the given point
So lets use the Point-Slope Formula to find the equation of the line
 Plug in  ,  , and  (these values are given)
 Rewrite  as 
 Distribute
 Multiply and  to get 
 Subtract 3 from both sides to isolate y
 Combine like terms and  to get
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Answer:
So the equation of the line with a slope of which goes through the point (0,-3) is:
which is now in  form where the slope is and the y-intercept is 
Notice if we graph the equation and plot the point (0,-3), we get (note: if you need help with graphing, check out this solver)
 Graph of through the point (0,-3)
and we can see that the point lies on the line. Since we know the equation has a slope of and goes through the point (0,-3), this verifies our answer.
Answer by mangopeeler07(462) (Show Source):
You can put this solution on YOUR website! y=mx+b is the equation of a line in slope-intercept form. m is the slope and b is the y-intercept. Plug in 6 for m and -3 for b to show that the slope is 6 and the y-intercept is -3.
So,
y=6x+-3
or
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