SOLUTION: what is the slope of the following line? 3x+7y=4

Question 548732: what is the slope of the following line? 3x+7y=4
Found 2 solutions by jim_thompson5910, bucky:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Subtract from both sides.

Rearrange the terms.

Divide both sides by to isolate y.

Break up the fraction.

Reduce.

So the equation is now in slope intercept form where the slope is and the y-intercept is note: the y-intercept is the point

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Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given the equation:
.
You are to find the slope of the graph for this equation.
.
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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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:
.
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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Next solve for y by dividing both sides (all terms) by 7 to get:
.

.
This is in the slope intercept form. You can see that the multiplier of the x term is and that is the value of the slope. The b term is and that is the value on the y-axis where the graph crosses.
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So, the slope is and that is the answer to this problem.
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Hope this helps you to understand this problem.
.

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