SOLUTION: Write the equation of the line with given slope and y-intercept. Then graph each line using the slope and y-intercept. Problem: slope 2/3; y intercept (0,-2)

Question 117657: Write the equation of the line with given slope and y-intercept. Then graph each line using the slope and y-intercept.
Problem: slope 2/3; y intercept (0,-2)
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

If you want to find the equation of line with a given a slope of which goes through the point (,), 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 2 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 (,) 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 (,), we get (note: if you need help with graphing, check out this solver )

Graph of through the point (,)
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 (,), this verifies our answer.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Find the equation of the line(with graph)---slope a nd y-intercept:given

Using the slope-intercept form,

where m=slope, b=y-intercept,
and, substituting the values m=0.666666666666667 and b=-2,

And the general equation is,

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