how do you find the equation of a line given a point and what it is perpendicular too?
i have a point and an equation in slope intercept form and i have to find the equation thats perpendicular to the eqution given . How do i do that?
The equation of a line that is perpendicular to the given line has a slope that is
the negative inverse of the given slope. E.G., if the given equation were y = 1/2 x + 7,
the new equation would be y = -2x + b, understanding that b is the y-intercept of
the new equation. Now, take the x and y values of the point you have been given
and plug them into the new equation to find the value of b. If the point were (7, -10),
you would have -10 = -2(7) + b. Solve that and you would find that b = 4. So,
in this case, the equation would be y = -2x + 4.
Follow the same steps, using the values from your equation and point. You will
end up with the correct equation for your problem.