SOLUTION: Find the value of K so that the given line has slope m. kx-3y=7 m=2

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Question 158730This question is from textbook Algebra and Trigonomery/ Structure and Method Book 2
: Find the value of K so that the given line has slope m.
kx-3y=7 m=2
 This question is from textbook Algebra and Trigonomery/ Structure and Method Book 2

Answer by gonzo(654)   (Show Source): You can put this solution on YOUR website!
equation given is and m = 2
slope intercept form of the equation is y = m*x + b
where m is the slope and b is the y-intercept when x = 0.
converting the standard form of the equation to slope intercept is as follows:
add 3*y to both side of the equation to get
k*x = 3*y + 7
subtract 7 from both side of the equation to get
k*x - 7 = 3*y
this is the same as 3*y = k*x - 7
divided both sides of the equation by 3 to get

since m is the slope in the slope-intercept form of the equation, then
m must = (k/3)
since m = 2, then 2 = (k/3) and k = (2*3) = 6
substituting this in the standard form of the equation, we get
6*x - 3*y = 7
transforming the standard form of the equation to slope-intercept form to prove the answer is correct, we get
6*x -7 = 3*y
(6*x)/3 - (7/3) = y
slope is 6/3 = 2 = m proving the formula is correct.
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