SOLUTION: what is the equation of a line with a slope of -2/3 and y- intercept of 17

Question 150897: what is the equation of a line with a slope of -2/3 and y- intercept of 17
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If an equation has a y-intercept of 17, this means that the equation goes through the point (0,17)

If you want to find the equation of line with a given a slope of which goes through the point (0,17), 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)

Distribute

Multiply and to get

Add 17 to 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 (0,17) 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 (0,17), we get (note: if you need help with graphing, check out this solver )

Graph of through the point (0,17)
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 (0,17), this verifies our answer.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
what is the equation of a line with a slope of -2/3 and y- intercept of 17
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Y = (-2/3)x + 17
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Cheers,
Stan H.
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