Question

in two or more complete sentences, describe how to graph the following equation. in your description, include the slope and both the x- and y-intercepts of the line. y=2

Answer 1

Answer:

Slope: 0

x-intercept: there isnt one

y-intercept: 2

Step-by-step explanation:

the easiest way to look at this is to put it in the form y=mx+b where m is the slope and b is the y intercept.  when we just think about what y=2 would look like, we can imagine a straight horizontal line at y=2.  No matter what x value you choose, y will always equal 2.  We know the slope (m) of any horizontal line is zero because there is no rise and zero divided by anything is going to be zero.  we also know if y is always equal to 2 the y intercept will be 2.  this would give us y=0x+2.  to find the x intercept we just need to set y equal to zero in this equation.  this gives us 0=0x+2 or 0=2 which can never be true, therefore there will be no x intercept.