Question

Find the x-intercept and the y-intercept of the graph of the equation 9x + 16y = 17. Then graph the equation.

Answer 1

x-intercept = 17/9

y-intercept = 17/16

Explanation:

rearranging the given equation to

`9x+16y-17=0`

then using the straight line equation

`y=mx+c`

calculating the y-intercept when x=0, y is 17/16 the line cuts y-axis at y=1.06250

`y-intercept =17/16=1.06250`

calculating the x-intercept when y=0 the value of x is 17/9 therefore cuts the x-axis at 1.88889

`x-intercept=17/9=1.88889`

Answer 2

`(17)/(16)`

Explanation:

To calculate the y-incercept, it's easier if we have the formula written like this:

`y=ax+b`

Where "b" represents the y-incercept.

So we have to isolate Y from the equation:

`9x+16y=17\\16y=17-9x\\y=(17-9x)/(16) \\y=(17)/(16) -(9)/(16)x`

The y-intercept is the number that doesn't have X ("b"), so in this case the y-intercept is:
`(17)/(16)`