### Home > CAAC > Chapter 8 > Lesson 8.2.3 > Problem 8-67

8-67.

Examine the system of equations below. Homework Help ✎5

*x*− 2*y*= 4

*x*= 0Before solving this system, Danielle noticed that the point of intersection is also the

*y-*intercept of 5*x*− 2*y*= 4. Explain how she knows this.Find the point of intersection of the two rules above.

The line *x* = 0 is the *y*-axis.

The *y*-intercept is the point at which a line intersects the *y*-axis.

Substitute 0 in for *x*.

Solve for *y*.

Intersection = (0, −2)