Question

Determine the intercepts of the line.

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yy-intercept:
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xx-intercept:
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A coordinate plane. The x- and y-axes each scale by one-tenth. A graph of a line intersects the points zero, four-tenths and three-tenths, zero.

Answer 1

The y-intercept is the point where a line crosses the y-axis and is found when x = 0; in this case, it is (0, 0.4). The x-intercept is where the line crosses the x-axis, happening when y = 0, which is (0.3, 0) for this graph.

Step-by-step explanation:

To determine the intercepts of a line, we need to find the points where the line crosses the x-axis and the y-axis. The y-intercept is the point where the line crosses the y-axis, and it occurs when x = 0. Conversely, the x-intercept is the point where the line crosses the x-axis, and it happens when y = 0. Given the description of the graph which intersects the y-axis at (0, 0.4) and the x-axis at (0.3, 0), these points are the y-intercept and x-intercept, respectively.

To state them explicitly:

• y-intercept: (0, 0.4)
• x-intercept: (0.3, 0)

The intercepts are found from the graph, but they can also be obtained from the equation of a line, typically expressed as y = mx + b where b is the y-intercept and m is the slope of the line. In this graph, the y-intercept lets you know where on the y-axis the plot line begins, and the x-intercept indicates where the line crosses the x-axis.