QUESTION IMAGE
Question
the line has a y - intercept and has no x - intercept. part: 2 / 4 part 3 of 4 the y - intercept is (0, - 3). part: 3 / 4 part 4 of 4 graph the line.
Step1: Recall y - intercept definition
The y - intercept is the point where the line crosses the y - axis. It has the form (0, y). Given that the y - intercept is (0, - 3), we know the line crosses the y - axis at y=-3.
Step2: Recall x - intercept definition
The x - intercept is the point where the line crosses the x - axis (x, 0). Since it's stated the line has no x - intercept, it never crosses the x - axis.
Step3: Graphing the line
A line with a y - intercept of (0, - 3) and no x - intercept is a horizontal line at y = - 3. To graph it, we plot the point (0, - 3) on the y - axis and draw a straight horizontal line passing through that point.
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To graph the line, plot the point (0, - 3) on the y - axis and draw a horizontal line passing through it.