Respuesta :

Answer:

[tex]\frac{17}{16}[/tex]

Step-by-step explanation:

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

[tex]y=ax+b[/tex]

Where "b" represents the y-incercept.

So we have to isolate Y from the equation:

[tex]9x+16y=17\\16y=17-9x\\y=\frac{17-9x}{16} \\y=\frac{17}{16} -\frac{9}{16}x[/tex]

The y-intercept is the number that doesn't have X ("b"), so in this case the y-intercept is: [tex]\frac{17}{16}[/tex]

Answer:

x-intercept = 17/9

y-intercept = 17/16

Step-by-step explanation:

rearranging the given equation to

[tex]9x+16y-17=0[/tex]

then using the straight line equation

[tex]y=mx+c[/tex]

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

[tex]y-intercept =17/16=1.06250[/tex]

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

[tex]x-intercept=17/9=1.88889[/tex]

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