Answer:
y = x + 3
Step-by-step explanation:
The given graph indicates that the y-intercept of this line is 3 (that is, b = 3). The y-intercept is also represented by (0, 3). The graph also goes through (-3, 0). The 'run' is the jump of the x-coordinate from -3 to 0, and thus is 3; the 'rise' is the jump of the y-coordinate from 0 to 3, and is thus 3. Therefore, the slope of this line, m, is rise/run, which here is m = 3/3, or just 1.
The slope-intercept equation y = mx + b is therefore y = x + 3.
I would suggest you write out your objective before attempting problem solution. In this case, write out "find the equation of the line shown in this graph, in slope-intercept form."
