Question

Find the slope of the line that contains the points named a (o,d),b (d,o)

Answer 1

Answer 2

-1

Explanation:

Hello,

The slope is the inclination of the line with respect to the abscissa axis, if you know two points it can be calculated using:

`P1(x_(1),y_(1) )\\P2(x_(2),y_(2) )\\\\slope(m)=(y_(2) -y_(1) )/(x_(2)-x_(1)) \\`

Step 1

Define

`P1=a(o,d),x_(1) =o, y_(1)=d \\P2=b(d,o),x_(2) =d, y_(2)=o`

Step 2

put the values into the equation

`slope(m)=(y_(2) -y_(1) )/(x_(2)-x_(1))\\slope(m)=(o-d)/(d-o)\\factorize -1\\\\slope(m)=-(-o+d)/(d-o)\\slope(m)=-(d-o)/(d-o)\\slope(m)=-1\\`

Have a great day