Identify the slop, y-intercept, and number of solutions for each equation

Question

A. 1-y=9

B. 2(3-x)=0

 

 

I am stuck and can't seem to find problems similar to these online or in my text books. Please help.

Answer 1

Hi Sarah-

 

The first equation simplifies to y = -8. If you graph this in the plane, it will just be a horizontal line at y = -8. A horizontal line has slope 0, and here the y-intercept is -8. (If you want, you could think of this as y = 0x - 8.) If we're talking about the plane, "number of solutions" means the number of points on the line. Since a line has an infinite number of points, there are infinitely many solutions.

 

For the second equation, distribute to get 6 - 2x = 0, which solves to give x = 3. This is actually a vertical line at x = 3. (Think of all the points that have x value 3: they are all on a vertical line.) A vertical line has undefined slope, and this line has no y-intercept. Again, there are infinite solutions.

 

Julian