document.write( "Question 630259: Find x and y intercepts and graph. 4x-3y=6 \n" ); document.write( "
Algebra.Com's Answer #396800 by 55305(86)\"\" \"About 
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To find the x intercept of the line, we set y equal to 0. So if y=0, then x must be equal to 3/2. To find the y intercept, we need to set x equal to 0. So that means y will be equal to -2. Here is a graph: \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation \"4+x+%2B+-3+y+=+6\" describes a sloping line. For any
\n" ); document.write( " equation ax+by+c = 0, slope is \"-a%2Fb+=+-4%2F-3\".
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 6/4 = 1.5.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 6/-3 = -2.
  • Slope is -4/-3 = 1.33333333333333.
  • Equation in slope-intercept form: y=1.33333333333333*x+-2.
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