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The line with equation y = mx + 3 intersects the line with equation 3x + 4y + 12 = 0 at the point (1, −15/4) Find the value of m.

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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