document.write( "Question 369885: Graph each equationon a grid. -2x+5y=15 \n" ); document.write( "

Algebra.Com's Answer #263554 by neatmath(302) $\"\"$ $\"About$

You can put this solution on YOUR website!
The equation is already in standard form, so we will just use the solver to illustrate it.
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Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

Equation $\"-2+x+%2B+5+y+=+15\"$ describes a sloping line. For any
\n" ); document.write( " equation ax+by+c = 0, slope is $\"-a%2Fb+=+--2%2F5\"$ .

X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 15/-2 = -7.5.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 15/5 = 3.
Slope is --2/5 = 0.4.
Equation in slope-intercept form: y=0.4*x+3.

$\"graph%28+500%2C+500%2C+-7.5-8%2C+-7.5%2B8%2C+3-8%2C+3%2B8%2C+0.4%2Ax%2B3+%29+\"$ \n" ); document.write( "

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