Final answer:
The intersection point of the two lines is (-1, -7).
Step-by-step explanation:
To find the intersection point of the two lines, we can set the equations equal to each other:
3x - 4 = 10x - 7
Subtracting 3x and adding 7 to both sides, we get:
3 = 7x - 3x +7
Combining like terms, we have:
3 = 4x + 7
Subtracting 7 from both sides, we get:
-4 = 4x
Dividing both sides by 4, we find:
x = -1
Substituting this value of x back into either of the original equations, we can find the value of y:
y = 3(-1) - 4 = -7
Therefore, the intersection point of the two lines is (-1, -7).