document.write( "Question 1081702: Find the equation that passes through (7,-4) at a distance of 1 unit from point (2,1). \n" ); document.write( "
Algebra.Com's Answer #695759 by addingup(3677)\"\" \"About 
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One point: x, y
\n" ); document.write( "Another : x, y
\n" ); document.write( "At a distance of 1 unit in which direction, x or y? Is it (1, 1)or (2, 0) or something else?
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\n" ); document.write( "Here's your equation, in detail, for (7, 4)(2, 1). With this example you should be able to solve it once you figure out the one-unit issue:
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\n" ); document.write( "Slope of the line passing through two points is given by:
\n" ); document.write( "m = (y_2 - y_1)/(x_2 - x_1)
\n" ); document.write( "And you have:
\n" ); document.write( "x_1 = 7, y_1 = 4 and x_2 = 2, y_2 = 1 plug these values into the formula:
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\n" ); document.write( "m = ((1) - (4))/((2) - (7)) = -3/-5 = 3/5 (because -/- = +)
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\n" ); document.write( "The y-intercept is b = y_1 - m × x_1 Using your numbers:
\n" ); document.write( "b = 4 - (3/5) × 7 = -1/5
\n" ); document.write( "Now we are ready to write the equation in the form y = mx+b:
\n" ); document.write( "y = 3/5x - 1/5
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