Which graph shows the solution to the following system of linear inequalities?
1 answer:
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First of all, remember what the equation of a line is:
<span>y = mx+b</span>First, let's find what <span>m:
m = 1-(-3) / 2-(-1)
m = 4/3
</span>
so: y = 4/3x + b
Now, what about b, or the y-intercept?<span>To find b, think about what your (x,y) points mean:
<span><span>(-1,-3).
When x of the line is -1, y of the line must be -3.
</span><span>(2,1).
When x of the line is 2, y of the line must be 1.
</span></span>
Now, look at our line's equation so far: <span>y=4/3x+b</span>.
You can plug either (x,y) point you want into the x and y variables..the answer will be the same:
<span><span>(-1,-3)
-3=4/3 × -1+b,
b=-3-(4/3)(-1)
b=-5/3
</span><span>
(2,1)
1=4/3 × 2+b
b=1-(4/3)(2).
b=-5/3.
</span></span>In both cases we got the same value for b.
</span>
So we have y = 4/3x -(5/3).
In standard form it would be:
(4/3)x - y = (5/3)
