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8-67.
  1. Danielle doing her homework. Examine the system of equations below. Homework Help ✎

    5x − 2y = 4
    x = 0

    1. Before solving this system, Danielle noticed that the point of intersection is also the y-intercept of 5x − 2y = 4. Explain how she knows this.

    2. 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)