Answer:
The equation of the line passing through the point (6,-2) that is parallel to the line y=4x-11 is y = 4x - 26
The equation of the linear passes through the point (6, -2) and is parallel to the line y = 4x - 11
Parallel lines have the same slope.
Therefore,
y = 4x - 11
using
y = mx + b
where
m = slope
b= y-intercept
Therefore, the slope of y = 4x - 11 is 4.
And the slope of the other line will be 4 because they are parallel.
Therefore,
y = mx + b
y = 4x + b
it passes through (6, -2)
-2 = 6(4) + b
-2 - 24 = b
b = -26
The equation will be y = 4x - 26