
David W. answered 04/02/19
Experienced Prof
If you are given the slope and the y-intercept for a line, you may write the equation of the line in slope-intercept form:
y = mx + b
where m is the slope
the point (0,b) is the y-intercept [note: the y-intercept is the place where x=0]
For Slope = 0 y intercept =1, that would be:
y = 0x + 1
y = 1 [because 0x = 0]
This line has a y-value of 1 no matter what x-values is given. It is a horizontal line.
Now, an interesting point, we may not use the slope-intercept form of the equation of a line when the line is a vertical line. This is because the slope is undefined and it may not intersect the y-axis (that is, the x-intercept, the place where y=0, unless, of course,y=0 is the equation of the line.).