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Find the gradient and the $$y$$-intercept of the following lines: $$x + 4 = 0$$

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Question

Find the gradient and the $$y$$-intercept of the following lines:

$$x + 4 = 0$$

Sum
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Solution

A linear equation in slope-intercept form is $$y = mx + c$$, where $$m$$ is the gradient (slope) and $$c$$ is the $$y$$-intercept.

$$x + 4 = 0$$:

$$x = -4$$

This is a vertical line parallel to the $$y$$-axis.

Therefore, the gradient is undefined (not defined) and there is no $$y$$-intercept.

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Chapter 14: Equation of a Straight Line - EXERCISE 14A [Page 223]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 14 Equation of a Straight Line
EXERCISE 14A | Q 10. (iii) | Page 223
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