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Re: In the xy-plane, what is the slope of the line with equation [#permalink]

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15 Oct 2012, 03:27

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The equation can be rearranged as \(y = (-3/7)x + 9/7\) If the equation of a line is y = mx +c, the slope is m Thus the slope of the above equation is \(-3/7\) Answer B
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Re: In the xy-plane, what is the slope of the line with equation [#permalink]

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15 Oct 2012, 09:54

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Another solution is, find points on X and Y axis where this line intersects them, by substituting x=0 and y=0 respectively in the equation of line. So two points on line found this way are (0,9/7) and (3,0)

Hence slope of line = (y2-y1)/(x2-x1) = (0-9/7)/(3-0) = -3/7

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In the xy-plane, what is the slope of the line with equation 3x + 7y = 9 ?

(A) -7/3 (B) -3/7 (C) 3/7 (D) 3 (E) 7

The easiest way to determine the slope of the line is to put the equation of the line into slope-intercept form, which is y = mx + b, where m = slope and b = the y-intercept. We must rewrite the given equation 3x + 7y = 9 to get y by itself on the left.

3x + 7y = 9

7y = -3x + 9

y = (-3/7)x + 9/7

Using the general slope-intercept form of y = mx + b, we see that the slope m = -3/7

Answer B.
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In the xy-plane, what is the slope of the line with equation [#permalink]

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27 Jun 2017, 13:05

In the xy-plane, what is the slope of the line with equation 3x + 7y = 9 ?

\(3x + 7y = 9\)

In order to determine the slope, we can arrange the equation in the SLOPE INTERCEPT form of the equation.

\(y = mx + b\) ===> Where m is the slope

\(3x + 7y = 9\)

\(7y = - 3x + 9\)

\(y = \frac{-3}{7} * x + \frac{9}{7}\)

Comparing above equation with \(y = mx + b\)

We get \(m = \frac{-3}{7}\)

Hence, Answer is B _________________

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