What is the geometric representation of the equation 5x + 2y = 10?
Practice Questions
Q1
What is the geometric representation of the equation 5x + 2y = 10?
A point
A line
A plane
A curve
Questions & Step-by-Step Solutions
What is the geometric representation of the equation 5x + 2y = 10?
Step 1: Understand that the equation 5x + 2y = 10 is in the form of a linear equation, which typically looks like Ax + By = C.
Step 2: Identify the coefficients A, B, and C in the equation. Here, A = 5, B = 2, and C = 10.
Step 3: Recognize that this equation can be graphed on a coordinate plane, where x is the horizontal axis and y is the vertical axis.
Step 4: To find points on the line, you can choose values for x and solve for y, or vice versa. For example, if x = 0, then 2y = 10, so y = 5. This gives the point (0, 5).
Step 5: Similarly, if y = 0, then 5x = 10, so x = 2. This gives the point (2, 0).
Step 6: Plot the points (0, 5) and (2, 0) on the coordinate plane.
Step 7: Draw a straight line through the points you plotted. This line represents all the solutions to the equation 5x + 2y = 10.
