You can put this solution on YOUR website! You are given the equation:
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and you are also given in coordinate or (x, y) form the point (-4, 7).
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To see if this point is a solution (or lies on the graph of the line represented by the equation ) all you have to do is substitute the x value of the point for the x value in the equation and also substitute the y value of the point for the y value in the equation. If the equation remains true, then the given point is a solution and lies on the graph.
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Start with the equation:
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Substitute -4 for x and 7 for y in the equation to get:
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Multiply the 5 times the -4 to get -20 and also multiply the -3 times the 7 to get -21. Substitute these into the equation and you get:
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Combine the two terms on the left side and the equation becomes:
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This is incorrect! -41 does NOT equal 3. So the point represented by x = -4, y = 7 does NOT satisfy the equation and also does not lie on the graph of the straight line that represents the equation.
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In summary, if you are given a coordinate point and asked to determine whether it satisfies an equation, just plug the x and y values of the point into the equation and see if the left and right sides are equal. If they are, then the point satisfies the equation. If they are not equal, then the point does not satisfy the equation.
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Hope this helps you to understand how to work problems such as this one.
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