document.write( "Question 5809: What is the slope of the line that has the equation 4x + 2y =12? Can someone help me please? \n" ); document.write( "

Algebra.Com's Answer #3010 by ichudov(507) $\"\"$ $\"About$

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Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

Equation $\"4+x+%2B+2+y+=+12\"$ describes a sloping line. For any
\n" ); document.write( " equation ax+by+c = 0, slope is $\"-a%2Fb+=+-4%2F2\"$ .

X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 12/4 = 3.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 12/2 = 6.
Slope is -4/2 = -2.
Equation in slope-intercept form: y=-2*x+6.

$\"graph%28+500%2C+500%2C+3-8%2C+3%2B8%2C+6-8%2C+6%2B8%2C+-2%2Ax%2B6+%29+\"$ \n" ); document.write( "

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