y=5x-10

The equation you've provided is a linear equation in slope-intercept form (y = mx + b), where:

• m is the slope of the line (which is 5 in this case)
• b is the y-intercept (which is -10 in this case)

Features of the Equation:

1. Slope (m): The slope of 5 indicates that for every unit increase in \(x\), \(y\) increases by 5 units. This means the line rises steeply.

2. Y-intercept (b): The y-intercept of -10 implies that the line crosses the y-axis at the point (0, -10).

To Graph the Equation:

1. Start at the y-intercept (0, -10) on the graph.
2. Use the slope to determine additional points:
   • From (0, -10), move up 5 units (rise) and 1 unit to the right (run) to get to the point (1, -5).
   • You can find more points using the same slope: from (1, -5), move up 5 (to 0) and right 1 (to 2) to get to (2, 0).
3. Draw a straight line through these points.

To Find the X-intercept:

To find where the line crosses the x-axis (where \(y = 0\)):

1. Set \(y\) to 0 in the equation: \[ 0 = 5x - 10 \]
2. Solve for \(x\): \[ 5x = 10 \\ x = 2 \] Thus, the x-intercept is at the point (2, 0).

Summary:

• Slope: 5
• Y-intercept: (0, -10)
• X-intercept: (2, 0)

If you need further information or another type of analysis, feel free to ask!