Which linear equation represents the graph

Which linear equation represents the graph? A) y=5x+4 B) y=1/5x+4 C) y=5x-1 D) y=1/5x-1

The Correct Answer and Explanation is:

To determine the linear equation that represents the graph, we need to identify the slope and y-intercept of the line.

1. Slope (m): The slope of a line is the ratio of the change in y to the change in x (rise over run). We can pick two points from the graph and calculate the slope. Looking at the graph, we can see that the line passes through the point (0, 4) on the y-axis. This gives us the y-intercept (b) as 4.
2. Slope Calculation: The line seems to rise 1 unit for every 5 units it moves to the right. This suggests a slope of 1/5.
3. Equation of the Line: The general form of a linear equation is y = mx + b, where:
   • m is the slope,
   • b is the y-intercept.
   With a slope of 1/5 and a y-intercept of 4, the equation is:
   y = 1/5x + 4

Thus, the correct equation is B) y = 1/5x + 4.