Find the equation of the line that is perpendicular to the given line and passes through the given point. y = −1/2x − 3; (14, 0)

The equation is y = ?

Step-by-step explanation:

Slope intercept form:

where:

When two lines are perpendicular, their slopes will be opposite reciprocals.

examples:

→ flip the fraction and change the sign →

-5 or → flip the fraction and change the sign →

→flip the fraction and change the sign →

So find the opposite reciprocal of the given slope:

Flip the fraction and change the sign:

→ or

Now insert the new slope and the given points into point-slope form:

Solve the equation for y. Use the distributive property:

Simplify:

:Done