Write the equation of a line in slope intercept form that is perpendicular to the line y = –4x and passes through the point (2, 6). Do not use any spaces. Slope should be a reduced improper fraction.

Question

Write the equation of a line in slope intercept form that is perpendicular to the line y = –4x and passes through the point (2, 6).  Do not use any spaces.  Slope should be a reduced improper fraction.

anonymous · Answer

first we have to find the perpendicular slope and we can do that by flipping the bottom number with the top number in the fraction 4/1 then multiplying it by -1 |dw:1374390182908:dw| now that we have the slope we can plug the given imformation into this formula! $$y - y_{1} = m(x-x_{1})$$
y1=6
x1=2
m=-1/4
now just solve for y and you will have your equation! $$y - 6 = -\frac{1}{4}(x-2)$$