Question

Graph these equations:
x–y=1
x=
–
5

Answer 1

To graph the equations you've provided, let's start by clarifying each equation.

1. The first equation is \( x - y = 1 \). To express this in slope-intercept form (y = mx + b), we can rearrange it:

\[
y = x - 1
\]

This equation represents a straight line with a slope of 1 and a y-intercept of -1.

2. The second equation appears to be incomplete. However, if you mean \( x = -5 \), this represents a vertical line at \( x = -5 \).

### Graphing the Equations:

1. **Graph of \( y = x - 1 \)**:
- Start at the y-intercept (0, -1).
- The slope (1) means you can rise 1 unit up and run 1 unit to the right to find another point, such as (1, 0) and (2, 1).
- Plot these points and draw a straight line through them.

2. **Graph of \( x = -5 \)**:
- This line is vertical and will cross the x-axis at -5.
- Simply draw a vertical line that goes through the point (-5, y), where y can be any value.

### Combined Graph:
You now have two lines:
- A diagonal line that goes upwards from left to right, crossing the y-axis at -1 and the x-axis at (1, 0).
- A vertical line that intersects the x-axis at -5.

If you would like a detailed graph visualization, you can graph it on graph paper or use graphing software. The intersection point (if the lines do intersect) will be the solution to the system of equations.