Answer:
- slope: 2/3
- y-intercept: (0, -1)
- y = 2/3x -1 . . . equation of the line
Explanation:
The y-intercept is where the line crosses the y-axis: (0, -1).
The slope is easily found by counting grid squares between the marked points. To get from one point to the next on its right, you need to go up 2 squares and right 3 squares. The slope is ...
slope = rise/run = 2/3
The slope of the line is 2/3. The y-intercept is (0, -1).
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Additional comment
In the slope-intercept form of the equation for a line, we're only concerned with the y-value of the y-intercept. Here, that is -1. That equation is ...
y = mx +b . . . . . . line with slope m and y-intercept b
y = 2/3x -1 . . . . . line on the graph shown