Answer:
y = [tex]\frac{1}{4}[/tex]x
Step-by-step explanation:
Given:
Perpendicular line: y = -4x + 2
m = -4
Pass through point (0,0).
Write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
For a line to be perpendicular to another line, the slopes of the two lines must be negative reciprocals.
m = -4 → m = [tex]\frac{1}{4}[/tex]
We use the point-slope form y - y₁ = m(x - x₁).
y - 0 = [tex]\frac{1}{4}[/tex](x - 0)
y = [tex]\frac{1}{4}[/tex]x
So, the equation is y = [tex]\frac{1}{4}[/tex]x.
