Answer:
a) y = 2x +4
b) y = 1/2x +4
c) y = -2x +11
Step-by-step explanation:
The given equations are in slope-intercept for, so we can read the slope directly from the equation. It is the x-coefficient.
We can then write an equation of a parallel line using the point-slope form of the equation of a line:
y -k = m(x -h) . . . . for a line with slope m through point (h, k)
If you like, you can rearrange this to "slope-intercept" form. Add k and simplify.
y = mx +(k -mh)
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a) m = 2, (h, k) = (3, 10)
y = 2x +(10 -2·3)
y = 2x +4
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b) m = 1/2, (h, k) = (0, 4)
y = 1/2x +(4 -(1/2)·0)
y = 1/2x +4
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c) m = -2, (h, k) = (4, 3)
y = -2x +(3 -(-2)(4))
y = -2x +11
