In your given equation: y = 2x + 3
the slope = 2 or 2/1
y-intercept = 3
The y-intercept is the point on the graph where it crosses the y-axis. It is also the value of y when x = 0. Therefore, the coordinates of the y-intercept is (0, 3). There’s your first point.
Next, use your slope to find your two other points. The slope is 2/1 (RISE 2 units, RUN 1 unit to the right).
That should give you the 2nd point: (1, 5).
From your 2nd point, repeat the same steps using the slope (2 units UP, 1 unit to the right) will give you the 3rd point: (2,7).
Therefore, the coordinates of 3 points that lie along the line, y = 2x + 3 are: (0,3), (1,5) and (2,7).
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