SOLUTION: write an equation in slope-intercept form for the line that satisfies the following condition. slope 1/3and passes through (3,9)
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Question 157640This question is from textbook algebra 2
: write an equation in slope-intercept form for the line that satisfies the following condition. slope 1/3and passes through (3,9)
This question is from textbook algebra 2
Answer by Electrified_Levi(103) (Show Source): You can put this solution on YOUR website!
Hi, Hope I can help
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write an equation in slope-intercept form for the line that satisfies the following condition. slope and passes through (3,9)
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The slope intercept form of an equation is equal to , where "m" is the slope, "b" is the y intercept.
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We know the slope is , so we can replace "m" with in our equation
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, becomes , now we have to find "b"
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We now a point on the line, point (3,9), and because points are given as (x,y), we can use the point to solve for "b"
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If the point is (3,9)(x,y), all we need to do is replace "x" and "y" in our equation, with the numbers(replace "x" with "3", replace "y" with "9")
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, becomes
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=
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= , to find "b" we will move "1" to the left side
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=
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= =
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We found that "b" = "8", we can replace "b" with "8" in our equation
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=
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is the slope-intercept form/equation of the line
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We can check our answer by replacing "x" and "y" with (3,9)(x,y) in our equation
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=
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=
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= = (True)
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We can also find that the y intercept(where the line hits the y-axis) is (0,8), another point on the line,
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We can check by replacing "x" and "y" with (0,8)(x,y),
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=
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=
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= = (True)
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The slope-intercept form/equation of the line is
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Hope I helped, Levi
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