Examine the system of equations below. Homework Help ✎
5x − 2y = 4
x = 0
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.
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)