165k views
2 votes
Find the point at which the line f(x) = - 4x + 8 intersects the line g(x) = 52 - 10

1 Answer

3 votes

Final answer:

The point at which the line f(x) = - 4x + 8 intersects the line g(x) = 52 - 10 is (-8.5, 42). To find this, set the two equations equal to each other, solve for x, then substitute x back into either original equation to find the corresponding y-value.

Step-by-step explanation:

To find the point of intersection between the two lines f(x) = -4x + 8 and g(x) = 52 - 10 (which simplifies to g(x) = 42), we first set the equations equal to each other:

-4x + 8 = 42

Next, solve for x by first subtracting 8 from each side:

-4x = 42 - 8

-4x = 34

Then, divide each side by -4:

x = 34 / -4

x = -8.5

After finding the x-value, you can plug it back into either of the original equations to find the y-value. In this case, let's use f(x) = -4x + 8:

f(-8.5) = -4(-8.5) + 8

f(-8.5) = 34 + 8

f(-8.5) = 42

So, the point at which the two lines intersect is (-8.5, 42).

Learn more about Line Intersection

User Mark Cameron
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories