To find the equation of a line that is parallel to a given line, we need to know that parallel lines have the same slope.
The slope of the line passing through A (-1, 2) and B (1, -6) can be calculated using the slope formula:
slope = (change in y)/(change in x)
slope = (-6 - 2)/(1 - (-1))
slope = -8/2
slope = -4
Since the line passing through W (2, 0) should be parallel to the line passing through A (-1, 2) and B (1, -6), it will share the same slope of -4.
We can now use the point-slope form to find the equation of the line passing through W (2, 0) with a slope of -4:
y - y1 = m(x - x1)
where (x1, y1) is the point W(2, 0) and m is the slope of -4.
Substituting the values:
y - 0 = -4(x - 2)
Simplifying:
y = -4x + 8
Therefore, the equation of the line that goes through point W(2,0) and is parallel to the line passing through A (-1, 2) and B (1, -6) is y = -4x + 8.
What is the equation of a line that goes through point W(2,0) and is parallel to a line that goes through A (-1,2) and B(1,-6)(1 point) Responses y = -4x + 2 y = -4x + 2 y = -4x + 8 y = -4x + 8 y = 4x+2 y = 4x+2 y = 4x - 8
1 answer