If the lines represented by the equations are graphed y = 3x + 2 and 2x - y = 4, their point of intersection is

Question

If the lines represented by the equations are graphed

$y = 3x + 2$

and

$2x - y = 4$

their point of intersection is.

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Solution

To find the point of intersection of the two lines represented by the equations y = 3x + 2 and 2x - y = 4, you need to solve the system of equations. Here are the steps:

Step 1: Rewrite the second equation in the form y = mx + b. 2x - y = 4 can be rewritten as y = 2x - 4.

Step 2: Set the two equations equal to each other and solve for x. 3x + 2 = 2x - 4 Subtract 2x from both sides to get x = -6.

Step 3: Substitute x = -6 into either of the original equations to solve for y. If we substitute x = -6 into the first equation, we get y = 3*(-6) + 2 = -16.

So, the point of intersection of the two lines is (-6, -16).

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If the lines represented by the equations are graphed y = 3x + 2 and 2x - y = 4, their point of intersection is

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