What is the equation of the line shown in this graph?

To determine the equation of a line from a graph, we first need to identify two key points on the line. These points are usually represented by their coordinates (x, y).

Once we have these points, we can use the slope-intercept form of the equation of a line, which is expressed as y = mx + b, where:

• m represents the slope of the line.
• b is the y-intercept, where the line crosses the y-axis.

To find the slope (m), we can use the formula:

m = (y2 – y1) / (x2 – x1)

Here, (x1, y1) and (x2, y2) are the two points we identified. After calculating the slope, we can then substitute one of our points into the slope-intercept form to solve for b.

For example, if our two points are (1, 2) and (3, 4), we would calculate:

m = (4 - 2) / (3 - 1) = 2 / 2 = 1

Now, using the point (1, 2) to solve for b:

2 = 1(1) + b

Thus, b = 1. Therefore, the equation of the line would be:

y = 1x + 1

So, always plot your two known points, calculate the slope, find the y-intercept, and you will have the equation of the line!