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irga5000 [103]
3 years ago
12

What's an equation that the passes through (-6,4) and is parallel to y=1/2x+8

Mathematics
1 answer:
deff fn [24]3 years ago
3 0
By definition, if two lines share the same gradient, they are said to be parallel. So, we know for this equation, it must have a gradient of 1/2.

Now, since the point (-6, 4) passes through the line, we know it must satisfy the equation. Since we have a gradient/slope and a point, we can use the point-gradient form:

y - y_1 = \frac{1}{2}(x - x_1), where (x_1, y_1) represents the points being passed through.

y - 4 = \frac{1}{2}(x + 6)
2y - 8 = x + 6
2y = x + 14
y = \frac{1}{2}x + 7
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