SOLUTION: Find an equation of the line satisfying the given conditions. Through (0, 2); m=3/2

Question 151613: Find an equation of the line satisfying the given conditions.
Through (0, 2); m=3/2
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 (0,2), 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 2 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 (0,2) 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 (0,2), we get (note: if you need help with graphing, check out this solver )

Graph of through the point (0,2)
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 (0,2), this verifies our answer.
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