On a coordinate plane, line D F goes through points (negative 1, negative 3) and (2, 3). Point G is at (negative 4, negative 4).
1 answer:
Answer:
4
Step-by-step explanation:
D (-1, -3) and F( 2, 3)
G (-4, -4)
Which point on the y-axis lies on the line that passes through point G and is parallel to line DF?
If the line is parallel to DF then they have the same slope.
slope of line DF is m= difference in y/ difference in x = (-3-3)/( -1-2) = -6/-3 = 2
so slope of line that passes trough G and is ║ with DF is also m= 2
From point G (-4, -4) we go with a slope of 2 until we get to the y-axis
So we go up 2 and 1 left, 2up and 1 left, ... until we get to the point (0, 4), because the slope = rise/run = rise 2/run 1
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2y - x = -12 Add x on both sides
2y - x + x = -12 + x
2y = -12 + x Divide 2 on both sides to get "y" by itself
Your slope is .
For the equation of the line to be parallel to the given equation, the slopes have to be the same. So the parallel line's slope is also
y = mx + b
To find "b", you plug in the point (18,2) into the equation
2 = 9 + b Subtract 9 on both sides
2 - 9 = 9 - 9 + b
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