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You can put this solution on YOUR website!
3x + 4y = -16
\n" ); document.write( "subtract 3x from both sides of the equation to get:
\n" ); document.write( "4y = -16 - 3x
\n" ); document.write( "divide both sides of the eqution by 4 to get:
\n" ); document.write( "y = -16/4 - 3/4 * x
\n" ); document.write( "order the equation in descending order of degree and simplify to get:
\n" ); document.write( "y = -3/4 * x - 4
\n" ); document.write( "it has a slope of -3/4 and a y-intercept of -4.
\n" ); document.write( "the x-intercept is the value of y when the value of x is 0.
\n" ); document.write( "start with y = -3/4 * x - 4
\n" ); document.write( "set y = 0 to get 0 = -3/4 * x - 4
\n" ); document.write( "add 4 to both sides of the equation to get:
\n" ); document.write( "4 = -3/4 * x
\n" ); document.write( "divide both sides of the eqution by -3/4 to get:
\n" ); document.write( "4 / (-3/4) = x
\n" ); document.write( "solve for x to get:
\n" ); document.write( "x = -5.33333.....\r
\n" ); document.write( "\n" ); document.write( "here's a graph of the original equation, using the desmos.com calculator.
\n" ); document.write( "
![](\"http://theo.x10hosting.com/2023/032401.jpg\")
\n" ); document.write( "you can see that the y-intercept is x = -4
\n" ); document.write( "that's the value of y when the value of x is zero.
\n" ); document.write( "you can see that the x-intercept is y = -5.333.
\n" ); document.write( "that's the value of x when the value of y is zero, rounded to 3 decimal places.
\n" ); document.write( "you can see that the slope is -3/4 because, looking from left to right, you have the coordinate point of (-5.33333....., 0) and the coordinate point of (0,-4) on the line.
\n" ); document.write( "the slope is (y2-y1) / (x2-x1) = (-4 - 0) / (0 + 5.33333.....) = (-4 - 0) / 5.33333.....
\n" ); document.write( "this is equal to -4 / (16/3) which is equal to -3/4.\r
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