Question 86732
An easy way to find the slope is to work the equation into the slope-intercept form which
is given by the equation:
.
y = mx + b
.
In this form m is the slope and b is the value on the y-axis where the graph crosses
the axis.
.
So take the given equation 3x + 2y = 6 and solve it for y.
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First step, subtract 3x from both sides to get:
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2y = -3x + 6
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Then divide both sides (all terms) by 2 to solve for y. When you do that division you
get:
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y = (-3/2)x + 3
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By comparing this with the slope intercept form, you can see that m, the slope, is -3/2
and you can tell that the graph crosses the y-axis at the value y = +3.
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Hope this helps you understand the problem.