Respuesta :
Answer:
y = -3x - 4
Step-by-step explanation:
so 3y = x - 4 => y = 1/3x - 4/3
Perpendicular lines have slopes that are negative reciprocals of one another
so slope of perpendicular line is -3
so y = mx + b
y = -3x + b
Using (-2,2)
2 = -3(-2) + b
2 = 6 + b
b = -4
so y = -3x - 4
The equation of the line perpendicular to 3y = x - 4 passes through the point (-2,2) is y = -3x - 4.
What is equation of line?
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Let, 3y = x - 4
Dividing throughout by 3, we get
y = 1/3x - 4/3
Perpendicular lines have slopes that exist as negative reciprocals of one another.
The slope of the perpendicular line exists at -3.
so y = mx + b
y = -3x + b
Let, y = 2, m = (-3), x = (-2), b = ?
Using the points (-2,2)
2 = -3(-2) + b
2 = 6 + b
b = -4
Therefore, the equation of the line perpendicular to 3y = x - 4 passes through the point (-2,2) is y = -3x - 4.
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