PLease Explain how you can tell if a line is proportional
To determine if a line is proportional, you need to examine its equation or its graph. Here are two methods to determine if a line is proportional:
Method 1: The equation:
1. Obtain the equation of the line in slope-intercept form: y = mx + b. Here, m represents the slope, and b represents the y-intercept.
2. Check if the equation has the form y = kx, where k is a constant.
- If the equation is in this form, then the line is proportional.
- If the equation is not in this form, then the line is not proportional.
Method 2: The graph:
1. Plot the points on a coordinate plane that lie on the line.
2. Connect the plotted points with a straight line.
3. Examine the shape of the line:
- If the line passes through the origin (0,0) and all the points lie on the line, then the line is proportional.
- If the line does not pass through the origin or the points do not lie on the line, then the line is not proportional.
Remember, in a proportional relationship, as one variable (x) changes, the other variable (y) changes in a consistent ratio. This ratio is represented by the slope of the line. If the ratio between x and y remains constant, the line is proportional.