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Sagot :
The value of m will be; m = (-∞ , - 15/4) ∪ ( 1 , ∞ ).
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given: line y = mx + 3 intersects the line 3x + 4y + 12 = 0 at two distinct points.
To find the set of values of m.
The system of equations are;
y = mx + 3
3x + 4y + 12 = 0
The intersection point are (1, −15/4)
So, the value of m will be
m = (-∞ , - 15/4) ∪ ( 1 , ∞ )
Learn more about equations here;
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