Mathematics for IGCSE & O level - Coordinate Geometry (Section 1 - No. 25)
Consider a line with the equation 2x + 3y = 6. Which of the following statements are true?
The gradient of the line is -2/3.
The y-intercept of the line is 2.
The x-intercept of the line is 3.
The line passes through the point (1, 1).
Explanation
Rewrite the equation to slope-intercept form to get y = -2/3x + 2. This implies the slope is -2/3 and the y-intercept is 2. The x-intercept can be found when y = 0. Substituting, 2x = 6 or x = 3
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