SOLUTION: Determine the equation of a line through (0,9) with a slope of 1/2. Write the answer in slope intercept form.

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Question 147542This question is from textbook
: Determine the equation of a line through (0,9) with a slope of 1/2. Write the answer in slope intercept form. This question is from textbook

Found 2 solutions by mangopeeler07, Electrified_Levi:
Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
Slope intercept form is y=mx+b, with m as the slope and b as the y-intercept (what y is when x is zero). So you have everything you need in the equation itself (yay, no extra work!). So just plug in 1/2 for m and get y=%281%2F2%29x%2Bb. Then plug in 9 for b, since a point is (0,9). You see that y=9 when x=0. So you should get y=%281%2F2%29x%2B9. This is your answer in slope intercept form.

Answer by Electrified_Levi(103) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, hope I can help
.
Determine the equation of a line through (0,9) with a slope of 1/2. Write the answer in slope intercept form.
The slope intercept form is = ( y = mx + b ), where "m" is the slope.
.
It has given us the slope, so we can replace "m" with +1%2F2+,
It would be [y = (1/2)x + b], or
+y+=+%281%2F2%29x+%2B+b+
.
It also gave us a point through the line, (0,9)
Since points are in the form (x,y), we can replace the "x" and "y" in our equation, ( x = 0)( y = 9), and solve for b.
.
+9+=+%281%2F2%290+%2B+b+
+9+=+0+%2B+b+
+9+=+b+, or +b+=+9+
.
Now we can replace the "b" with the 9.
The equation of the line would be +y+=+%281%2F2%29x+%2B+9+
.
You can check by replacing the "x" and "y" again with (0,9).
+9+=+%281%2F2%290+%2B+9+
+9+=+0+%2B+9+
+9+=+9+
.
Some other points to +y+=+%281%2F2%29x+%2B+9+
are
(2,10), (-2,8), (-18,0), (6,12)
.
Hope I helped, Levi