SOLUTION: Write the equation of a line whose slope is 6 and whose y intercept is -3.

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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