Problem
Write the equation in slope intercept form for the line passes through the point (4,0) and is perpendicular to the line represented by y=2/7x-6.
Solution
For this case since we need a perpendicular line to y= 2/7x -6 we need to satisfy this:
m1*m2= -1
Where m1 = 2/7, solving for m2 we got:
m2= -1/m1
[tex]m_2=-\frac{1}{\frac{2}{7}}=-\frac{7}{2}[/tex]Then we can use the point given x= 4 and y=0 to solve for the intercept on this way:
0= -7/2*(4) +b
b= 14
and our line would be given by:
Answer:
y= -7/2 x+14
