The y-intercept is the y-value at which the line crosses the y-axis. In this case the y-intercept is 3.
The slope is (the change in y) / (the change in x)
Notice that the graph goes through the points (0,3) and (2,5)
***You can use any two points through which the graph passes***
Lets call (0,3) point 1 and (2,5) point2.
- m = (y1 - y2) / (x1 - x2)
- m = (3 - 5) / (0 - 2)
- m = (-2) / (-2) = 1
Slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.
y = 1x + 3, or simply y = x + 3