document.write( "Question 1158144: Maria wrote the equation of a line that has a slope of Four-thirds and passes through point (3, 5). Which statement is true?
\n" ); document.write( "The y-intercept is 4.
\n" ); document.write( "The slope-intercept equation is y = four-thirds x + 1.
\n" ); document.write( "The point-slope equation is y minus 3 = four-thirds (x minus 5).
\n" ); document.write( "The line also passes through the point (0, - 2). \n" ); document.write( "
Algebra.Com's Answer #781058 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We are given a point and the slope, so we use the point slope form\r\n" );
document.write( "for an equation of a line:\r\n" );
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document.write( "\"matrix%281%2C3%2Cy-y%5B1%5D%2C%22%22=%22%22%2Cm%28x-x%5B1%5D%29%29\"\r\n" );
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document.write( "where we substitute the given slope for m and the given point for (x11).  \r\n" );
document.write( "[We do not substitute for x and y, but leave them variable.]\r\n" );
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document.write( "\"matrix%281%2C3%2Cy-5%2C%22%22=%22%22%2Cexpr%284%2F3%29%28x-3%29%29\"\r\n" );
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document.write( "Distribute the 4/3:\r\n" );
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document.write( "\"matrix%281%2C3%2Cy-5%2C%22%22=%22%22%2Cexpr%284%2F3%29x-4%29\"\r\n" );
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document.write( "Add 5 to both sides\r\n" );
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document.write( "\"matrix%281%2C3%2Cy%2C%22%22=%22%22%2Cexpr%284%2F3%29x%2B1%29%29\"\r\n" );
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document.write( "Now it's in the slope-y-intercept form where the slope is 4/3 and the\r\n" );
document.write( "y-intercept is 1\r\n" );
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document.write( "We'll check the choices:
The y-intercept is 4.
That's wrong because the y-intercept is 1, not 4.
The slope-intercept equation is y = four-thirds x + 1.
That's true because that's what we got.  So we have the answer. \r\n" );
document.write( "But let's see why the others are false anyway.
The point-slope equation is y minus 3 = four-thirds (x minus 5).
That's wrong because that has the x1 and y1 switched.
The line also passes through the point (0, - 2).
Let's substitute that and see why it's false:\r\n" );
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document.write( "\"matrix%281%2C3%2Cy%2C%22%22=%22%22%2Cexpr%284%2F3%29x%2B1%29%29\"\r\n" );
document.write( "\"matrix%281%2C3%2C-2%2C%22%22=%22%22%2Cexpr%284%2F3%290%2B1%29%29\"\r\n" );
document.write( "\"matrix%281%2C3%2C-2%2C%22%22=%22%22%2C0%2B1%29%29\"\r\n" );
document.write( "\"matrix%281%2C3%2C-2%2C%22%22=%22%22%2C1%29%29\"\r\n" );
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document.write( "That's certainly false.\r\n" );
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document.write( "Edwin
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