You can put this solution on YOUR website! One way to solve this problem is to use the slope-intercept form of an equation. The slope-
intercept form is:
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y = mx + b
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where m is the slope and b is the value on the y-axis at which the graph intersects the
y axis.
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This problem tells you that the slope is +12. You can substitute this into the slope-intercept
form and the equation becomes:
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y = 12x + b
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The problem also tells you that the point (-1, 4) is on the graph. This tells you that
when x is -1 and y is 4, the equation works. If you substitute these values for x and y
in the equation, you get:
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4 = 12*(-1) + b
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Multiplying out the right side results in the equation:
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4 = -12 + b
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Get rid of the -12 on the right side by adding 12 to both sides. This makes the equation:
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16 = b
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[This tells you that the graph crosses the y-axis at the value +16]
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Now that we know b = +16 we can substitute that into our equation and it becomes:
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y = 12x + 16
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This is the equation for a line that has a slope of 12 and goes through the point (-1, 4).
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You can now get other points on the line by assigning values to x and calculating the
corresponding value of y. For example, let x = 5. Then the corresponding value of y equals
12*5 + 16 = 60 + 16 = 76. So the point (5, 76) is on the line.
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Hope this helps you to understand the problem and how to solve it.
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