Question

Determine the intercepts of the line.
y= 10x - 32
y-intercept:
x-intercept:

Answer 1

(0, -32)

(3.2, 0)

Explanation:

The line is in slope intercept form. It is easy to identify the y-intercept.

`y=mx+b`

The y-intercept is (0,-32). '-32' replaces the 'b' in the equation.

To find the x-intercept, set the value of 'y' to zero and solve for 'x'.

`0=10x-32\\\\0 + 32 = 10x-32+32\\\\32=10x\\\\(32)/(10)=(10x)/(10)\\\\(32)/(10)=x\\\\\rightarrow (32/2)/(10/2)=(16)/(5)\\\\ \boxed{x=(16)/(5)}`

The x intercept is (16/5, 0).

This can also be expressed as (3.2, 0).

Hope this helps.

Answer 2

see below

Explanation:

To find the x intercept set y =0 and solve for x

0= 10x - 32

32 = 10x

Divide by 10

3.2 = x

The x intercept

( 3.2,0)

To find the y intercept set x =0 and solve for y

y= 0 - 32

y = -32

( 0, -32)