Given the equation y − 4 = three fourths(x + 8) in point-slope form, identify the equation of the same line in standard form.

ANSWERS

2016-04-12 10:28:29

The standard form of a line is ax+by=c, so we must get both variables on one side of the equal sign and a constant on the other... y-4=(3/4)(x+8) perform indicated multiplication on right side y-4=(3x+24)/4 multiply both sides by 4 4y-16=2x+24 add 16 to both sides 4y=2x+40 subtract 2x from both sides -2x+4y=40 (note that by convention, coefficient of x should be positive) divide both sides by -1 2x-4y=-40

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