write an equation of the line that is parallel to the given line the passes through the given point .
b. y = 9x passing through (0, -5)
Since we are looking for a line that is parallel to the given line, it will have the same slope. The slope of the given line is 9.
Using the point-slope form of a linear equation, where (x₁, y₁) is the given point:
y - y₁ = m(x - x₁)
Plugging in the values we have:
y - (-5) = 9(x - 0)
Simplifying the equation:
y + 5 = 9x
This is the equation of the line parallel to y = 9x that passes through the point (0, -5).