The problem asks us to identify the slope and intercepts of the equation $x=7$. We are also asked to graph the function.

AlgebraLinear EquationsSlopeInterceptsGraphing
2025/7/3

1. Problem Description

The problem asks us to identify the slope and intercepts of the equation x=7x=7. We are also asked to graph the function.

2. Solution Steps

The equation x=7x=7 represents a vertical line passing through the point (7,0)(7,0).
Slope:
The slope of a vertical line is undefined. We can say that the slope Does Not Exist (DNE).
Vertical Intercept:
A vertical intercept occurs when x=0x=0. Since the equation is x=7x=7, there is no yy value where x=0x=0. The vertical intercept Does Not Exist (DNE).
Horizontal Intercept:
A horizontal intercept occurs when y=0y=0. Substituting y=0y=0 into the equation x=7x=7 doesn't change the equation. The graph crosses the xx-axis at x=7x=7. Therefore, the horizontal intercept is
7.

3. Final Answer

Slope: DNE
Vertical Intercept: DNE
Horizontal Intercept: 7

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