Understanding Intercepts
What is the x-value of the y-intercept? How do you
know?

0

Step-by-step explanation:

The x-value in the y-intercept must be zero. This is because the y-intercept is where a line or function intersects with the y-axis. All points on the y-axis have an x-value of 0. Therefore, all y-intercepts will have an x-value of 0 and look like (0,b).

x and y intercepts are the points in which your line crossing x axcis and y axcis . For the streight line given by  linear function y=ax+b we find coordinates of the point A represent x intercept  using value for the second coordinate y=0 then return this value to linear function

0=ax+b       subtract b from both sides

-b     -b

-b=ax          divide by a which id different then 0

-b/a=x

X-itercept is a point A(-b/a, 0)

For y intercept point B (x.y) our first coordinate x=0, return this value to the linear function y=ax+b

y=a*0+b  

Y=0+b

y=b

y intercept is a point B(0,b)

For the special types of linear equations:

1. When a=0 liner function is y=b we have parallel lines with x axcise, crosing only y axcise and there are only y intercept B(0,b)

2. When a=0 and b=0 linear function is y=0, which is equation of the x axcise. In this case y intercept is the orgin point O(0,0) and x-intercepts is are all points of the x axcise A(x,0); x can be any real number. This means infinite many x intercept points.

3. When a is not 0 and b=0 we have x intercept point A(0,0) and y intercept point B(0,0).

4. For the linear equation x=c, c is constant value, we have parallel line with y axcise crosing x axcise at the point A(c,0) and there is no y intersect because there are parallel lines

Step-by-step explanation:     Example y=2x+6. For x intercept  y=0, return to linear function and in the place oy poot its value  

               0=2x+6    subtract  6

              -6      -6

              -6=2x          divide by 2

              -3=x                                                                                                      

X intercept points is a point A(-3,0)                                                                                                                        

For the y intercept point B(x,y)  x=0, return to linear function and in the place of x poot its value

              y=2x+6

              y=2*0+6

              y=0+6

              y=6

x intercept is a point B(0,6).

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!

is there any photos or whatever?