Question 821734: Find the x-intercept and the y- intercept of the graph of the equation.
5x+10y=30
9y-5x =20
8x-2y=16
7x+8y=18
2y-12=-6
2x-0.5y=8
4x-6y=-24
3(x+4y)=-24
Y=-3x+12
Y=-2x-8
Thank you so much for the help you will/are providing me with I greatly appreciate it before hand this Is a great website recommended to me by a friend and I will of course do the same if it works for me thanks
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
I will do two 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 1:
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in this case, we need to simplify:
3(x + 4y) = -24
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3x + 12y = -24
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and presto, it's now in standard linear equation form, with a=3, b=12, and c=-24
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to solve the linear equation, copy and paste this:
3 12 -24
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 = -8
y-intercept = -2
slope = -0.25
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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 = (-0.25)x + (-2)
y = -0.25x - 2
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graph:
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EQUATION 2:
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y = -3x + 12
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this one is already in slope-intercept form: y = mx + b
where:
m = slope = -3
b = y-intercept = 12
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to find the x-intercept just set y=0 and solve for x, like so:
y = -3x + 12
0 = -3x + 12
3x = 12
x = 4
x-intercept = 4
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now to graphing:
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graph:
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as for the remaining equations, they are all solved by one or the other of the above methods.
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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
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