Find the x and y intercepts of the following lines

Question

Find the x and y intercepts of the following lines.

 

1. 6x-1y=3

 

2. y=7x+3

Answer 1

The X intercept is where the value of y = 0 . This makes sense if you imagine the plot of the line. Likewise, the Y intercept is where x = 0. Let's look at your specific problems now.

 

Problem 1) 

6x - 1y = 3

 

Set y = 0 to find the X intercept

 

6x -1(0) = 3

6x = 3

x = 3/6 = 0.5

 

Set X = 0 for the Y intercept

 

6(0) -1(y) = 3

-y = 3

y = -3

 

 

Problem 2)

y = 7x + 3

 

Again, follow the same procedure, set Y = 0 for the X intercept

 

0 = 7x +3

-3 = 7x

(-3/7) = x

 

For the Y intercept, set x = 0

 

y = 7(0) + 3

y = 3

 

Hope this helps!