Question

4. A line is drawn perpendicular to 5x = y + 7. Find the equation of the line if the area of
the triangle formed by this line with coordinate axes is 5 sq. units.​

Answer 1

Step-by-step explanation:

since line is perpendicular to given line

m1*m2=-1(product of slope)

m1*5=-1

m2=-1/5

equation of second line

y=-x/5+c

5y+x=5c

when x=0 y=c

when y=0 x=5c

x axis intersection is(5c,0)

y axis intersection is (0,c)

area of triangle formed by it

1/2 *5c*c=5

c^2=2

c=√2 or c=-√2

equation of line is

5y+x=√2 or 5y+x=-√2