Question

Tx+12y=-3

the equation above is the equation of a line in the xy-plane, and t is a constant. if the slope of the line is -10, what is the value of t?

Answer 1

First, you need to write this equation in the y = ax + b structure.
To do this, you need to isolate the y on one side.

The 'a' in the formula is your slope, so replace it with (-10), and solve the equation. You'll get the answer.

Hope this is helpful!

Answer 2

in form
ax+by=c
slope=-a/b

a=T
b=12
slopt=-10
-10=-T/12
multiply both sides by 12
-120=-T
mulitply -1
120=t


T=120