Answer:
x-intercept is the point where a line crosses the x-axis.
y-intercept is the point where a line crosses the y-axis.
(A)
[tex]y=2x+1[/tex]
Set y =0 to solve for x;
2x+1=0
⇒[tex]x=-\frac{1}{2}[/tex]
x- intercept of the line is; ([tex]-\frac{1}{2}[/tex], 0)
Set x= 0 to solve for y;
[tex]y= 2\cdot 0+1[/tex]
y=0+1=1
then, y-intercept is, (0,1).
(B)
y = -0.5x+1
Same process for B as we have done in (A);
x-intercept = (2,0)
y-intercept = (0,1)
(C)
y= -2x-1
x-intercept = ([tex]-\frac{1}{2}[/tex], 0)
y-intercept = (0,-1)
(D)
y= -2x+1
x-intercept = ([tex]\frac{1}{2}[/tex], 0)
y-intercept = (0,1)
(E)
y =0.5x+1
x-intercept = (-2,0)
y-intercept = (0,1)
(F)
y = 2x-1
x-intercept = ([tex]\frac{1}{2}[/tex], 0)
y-intercept = (0,-1).
So the answer for this is shown in the attachment below;
