find the equations that represent the graph below.
i know how to find the slope but this graph gives me numbers in hundreds for the vertical axix. and one-digit numbers for horizontal axis how do i find the slope if its like that?
No difference, as long as you're consistent.
To find the slope of a line, you need to determine the change in the vertical axis (y-axis) divided by the change in the horizontal axis (x-axis) between two points on the line. In your case, where the vertical axis values are in the hundreds and the horizontal axis values are in single digits, you can still find the slope by considering the relative change.
Here's how you can find the slope of the given graph:
1. Identify two points on the line. Choose two points that are easily distinguishable, such as where the line intercepts the axes or where it crosses grid lines.
2. Determine the corresponding values of the points you selected. Take note of the y-coordinate for the first point (vertical axis) and the x-coordinate for the first point (horizontal axis). Similarly, note the y-coordinate and x-coordinate for the second point.
3. Calculate the change in the y-values (vertical axis) and the change in the x-values (horizontal axis). Subtract the y-coordinate of the first point from the y-coordinate of the second point to find the change in the y-values. Then, subtract the x-coordinate of the first point from the x-coordinate of the second point to find the change in the x-values.
4. Divide the change in the y-values by the change in the x-values. This ratio gives you the slope of the line.
By following these steps, you can calculate the slope of the line even if the vertical axis values are in the hundreds and the horizontal axis values are in single digits. Once you have the slope, you can write the equation of the line using the point-slope form or the slope-intercept form.