Question 29 on the MAT0020/24C Beginning Algebra State Exam

Identify Intercepts of a Linear (ax + by = c)

 

 

29.  Find the y –intercept for:                                       

 

A.                     B.                      C.                      D. 

 

 

Solution:

 

Find the y –intercept for: 

 

To find the x-intercept of a linear equation make y = 0 and solve for x.  To find the y-intercept of a linear equation make x = 0 and solve for y.

 

The first step to find the y-intercept is to substitute 0 for x and solve for y.

 

x

y

0

?

 

 

x

y

0

-1

 

 

The second step is to write the solution as a coordinate (x, y).  The value for x is 0 and the value for y is -1.

 

The solution is:  (0, -1)

 

 

Practice Problems for Question 29

Identify Intercepts of a Linear (ax + by = c)

 

1.  Find the x-intercept for:                                                                              

                         

a.                      b.                    c.                      d.   

 

 

 

 

2.  Find the y-intercept for:                                                                                

                         

a.                    b.                   c.                    d.   

 

 

 

 

 

3.  Find the y-intercept for:                                                                                   

                         

a.                      b.                      c.                      d.   

 

 

 

 

 

4.  Find the x-intercept and y-intercept for:                                                                                          

a.  x-intercept:   y-intercept:        b.  x-intercept:  y-intercept:       

c.  x-intercept:   y-intercept:         d.  x-intercept:   y-intercept: 

 

 

 

 

 

 

Solutions:

1.  c                 2.  a                      3.  c                         4.  b