Determine the equation of a line with gradient ... - SS2 Mathematics Gradient of Lines Question
Determine the equation of a line with gradient \(\frac{1}{2}\) and \(y\)-intercept \(6\)
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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