Answer
a- Horizontal lines.
b- y-intercept is y=-1/2
c- The x-intercept is common, that is x=-1/2
d- All the lines pass through the point (-1,1)
Work Step by Step
a)- y=b
this equation is representing a horizontal line. therefore the common property is a horizontal line.
b)- to find the y-intercept convert it into y=mx+c form
Ax+2y+1=0
2y= -Ax-1
y= -Ax/2 -1/2
here the value of c= -1/2
c)- to find the value of x-intercept put y=0
2x+B(0)+1=0
2x= -1
x= -1/2
here the valve of x-intercept is same for all the family of lines.
d)- y-1=m(x+1)
to know the common property compre it with the equation: y-y1=m(x-x1)
By comparing we get (x1, Y1)= (-1, 1)
therefore all the lines in this family will pass through the point (-1, 1).
