Answer:
y = 2x + 3
Explanation:
In order to determine the equation of the line, we need to find the slope using two points from the graph.
Let (x1, y1) = (0, 3)
(x2, y2) = (1, 5)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (5 - 3) / (1 - 0)
m = 2/1 = 2
Thus, the slope of the line is 2.
Next, we need to find the y-intercept, which is the point on the graph where it crosses the y-axis. In reference to the graph, it shows that the line crosses at point (0, 3), which happens to be one of the points we used to solve for the slope. The y-coordinate of the y-intercept is the value of b = 3.
Now that we have the values for the slope, m = 2, and the y-intercept, b = 3:
The equation of the line is y = 2x + 3.