Question on: SS2 Mathematics - Gradient of Lines
Determine the equation of a line with gradient \(\frac{1}{2}\) and \(y\)-intercept \(6\)
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A
2y = x + 12
B
\(y = \frac{1}{2}x + 6\)
C
y = 3x
D
A and B
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Correct Option: D
The equation of a line is generally expressed in the slope-intercept form as \\(y = mx + c\\), where:
* \\(m\\) is the gradient (slope) of the line.
* \\(c\\) is the y-intercept (the point where the line crosses the y-axis).
In this question, we are given:
* Gradient, \\(m = \\frac{1}{2}\\)
* y-intercept, \\(c = 6\\)
Substituting these values into the slope-intercept form, we get \\(y = \\frac{1}{2}x + 6\\). Option A is also correct but a transformation of B.
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