City planners want to construct a bike path perpendicular to Lome Lane at point P. An equation for the Lome Lane line is Find an equation for the line for the bike path.
y=-X
torne un
The equation of the line for the bike path is
(Simplify your answer. Type an equation. Type your answer in slope intercept form. Use integers or fractions for any numbers in the equation)

Equation of Lome lane → y =

Equation of bike lane → y =

Step-by-step explanation:

Since, Lome lane line is passing through (0, 0) and (10, -8),

Slope of the line '' =

                                 =

                                 =

y-intercept of the line = 0

Equation of the line will be,

y =

Since, bike path is perpendicular to the Lome lane line a point P,

By the property of perpendicular lines,

Where is the slope of the bike path.

Equation of line passing through (x', y') and slope 'm' is given by,

y - y' = m(x - x')

Since, bike path passes through (0, 0) and slope will be,

y - 0 =

y =

Equation of Lome lane → y =

Equation of bike lane → y =

could you provide figure.