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the x-coordinate is enter your response here. (type an integer or a fraction.) b. there is no x-coordinate for points on the y-axis.

User Gaurab Kc
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1 Answer

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Final answer:

The x-coordinate of any point on the y-axis is 0. The y-intercept is where a line crosses the y-axis, which is described by the 'b' term in the straight line equation 'y = mx + b', where 'm' is the slope.

Step-by-step explanation:

The x-coordinate for any point on the y-axis in a Cartesian coordinate system is 0. This is because the y-axis is defined as the line where all points have an x-coordinate of zero. Therefore, the statement about there being no x-coordinate for points on the y-axis is incorrect; the correct answer should be that the x-coordinate is 0 for every point on the y-axis.

When discussing the algebra of straight lines, as shown in Figure A1, the y-intercept denotes the point where the line crosses the y-axis, which is independent of the x-coordinate. Furthermore, it's important to understand that the equation of a straight line, often written as y = mx + b, helps describe the slope (m) and the y-intercept (b) of the line in a coordinate system. The given example in Figure A1 clearly shows that the y-intercept is 9 and the slope of the line is 3.

User Christophe Debove
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