Answer:
y = -7/5x -8
Explanation:
Equation of straight line in point slope form is given by
y = mx +c
where m is the slope of line and
c is y intercept .
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Given equation of line u is
y = 5/7 x -6
it is in slope intercept form
thus,
slope = 5/7
we have to find equation of line V which is perpendicular to given line.
we know that product of two perpendicular lines is -1
m1 *m2 = -1
we have m1 = 5/7
thus
5/7*m2 = -1
m2 = -7/5
Thus,
slope of line v is -7/5
let the equation of line V be
y = mx + c
m = -7/5
thus,
equation of line V can be written as
y -7/5 x + c
this line pass passes through point(-10,6)
putting x = -10 and y = 6
we have
6 = -7/5*-10 +c
6 = 14+c
c= 6-14 = -8
Thus,
equation of line in slope intercept form is y = -7/5x -8