Final answer:
To find the equation of line parallel to line m and passing through the point (6,2), you can use the point-slope form of a linear equation. The equation of line m² is y = -3x + 20.
Step-by-step explanation:
To find the equation of line m², we need to determine its slope and y-intercept. Since line m² is parallel to line m¹, they will have the same slope. The slope of line m₁ is -3, so the slope of line m² will also be -3. Now, we can use the point-slope form of a linear equation to find the equation of line m². Plugging in the values, we get:
y - y₁ = m(x - x₁)
y - 2 = -3(x - 6)
y - 2 = -3x + 18
y = -3x + 20
Therefore, the equation of line m² is y = -3x + 20.