Find the y-intercept x=-3
Problem
Solution
Identify the definition of a y-intercept. The y-intercept of a graph is the point where the graph crosses the y-axis, which occurs when
x=0 Analyze the given equation. The equation
x=−3 represents a vertical line that passes through all points where the x-coordinate is−3 Substitute the condition for a y-intercept (
x=0 into the equation. Settingx=0 in the equation0 = -3$ results in a contradiction.Conclude that because the x-coordinate is constant at
−3 it can never be0 Therefore, the line is parallel to the y-axis and does not intersect it.
Final Answer
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