Question 548732
Given the equation: {{{3x+7y=4}}}
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You are to find the slope of the graph for this equation.
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One way of doing this is to rearrange the given equation so it is in the slope-intercept form which is:
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{{{y = mx + b}}}
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When you get it into this form, m, the quantity multiplying the x term, will be the slope, and b will be the value on the y-axis where the graph crosses.
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Start with:
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{{{3x+7y=4}}} and the plan is to solve for y with everything else on the right side.
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Start by subtracting 3x from both sides. When you do that the 3x disappears on the left side and the equation becomes:
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{{{7y = -3x + 4}}}
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Next solve for y by dividing both sides (all terms) by 7 to get:
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{{{y = (-3/7)x + 4/7}}}
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This is in the slope intercept form. You can see that the multiplier of the x term is {{{-3/7}}} and that is the value of the slope. The b term is {{{4/7}}} and that is the value on the y-axis where the graph crosses.
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So, the slope is {{{-3/7}}} and that is the answer to this problem.
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Hope this helps you to understand this problem.
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