Y=2x-15
To prepare for exams, it is important to understand how to work with linear equations. The equation you have provided represents a straight line with a slope of 2 and a y-intercept of -15.
To further analyze the equation:
Slope (m): The coefficient of x, in this case, is 2. This means that for every unit increase in x, y will increase by 2. A positive slope indicates the line moves upward from left to right.
Y-intercept (b): The constant term in the equation, in this case, is -15. The y-intercept is the point where the line crosses the y-axis. In this case, the line crosses the y-axis at -15.
With this information, you can plot the line on a graph by following these steps:
- Draw a set of perpendicular axes labeled x and y.
- Plot the y-intercept by placing a point at (0,-15).
- Use the slope to find additional points on the line. Since the slope is 2, you can choose any x and calculate the corresponding y-value.
Example:
- Let's choose x = 5.
- Plug x = 5 into the equation: y = 2(5) - 15
- Simplify: y = 10 - 15 = -5
- Plot the point (5, -5) on the graph.
- Connect the points using a ruler or straight edge. The line should pass through the plotted points and extend indefinitely in both directions.
By visualizing the equation on a graph, you can better understand the relationship between the x and y values and make solving related problems easier during the exams.
