Question 821738
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I will do one of the more difficult ones for you, and you can do the rest:
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first, you want to make sure the equation is in standard linear equation form, which is this:
ax + by = c
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generally, a, b, and c may be positive, negative, or zero.
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EQUATION B:
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in this case, we need to simplify:
4(x + 2y) = 16 + 2y
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4x + 8y = 16 + 2y
4x + 6y = 16
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and presto, it's now in standard linear equation form, with a=4, b=6, and c=16
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to solve the linear equation, copy and paste this:
4 6 16
into the "Standard form: A B C" input box here: https://sooeet.com/math/linear-equation-solver.php
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answer:
x-intercept = 4
y-intercept = 2.666666
slope = -0.666666
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now that we have the above information, we can put the equation in slope-intercept form: y = mx + b
where:
m = slope
b = y-intercept
NOTE: this b (y-intercept) is not the same as the b above (from the standard linear equation form)
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so we have this now:
y = (-0.666666)x + (2.666666)
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graph:
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{{{ graph( 300, 300, -2, 5, -2, 4, (-0.666666)x + (2.666666)) }}}
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as for the remaining equations, they are all solved by the same method.
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php