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What are the $x$ - and $y$ -intercepts of the equation $3x+4y=24$ ?

Sagot :

MrRoyal

The x and the y-intercepts of the function are 8 and 6, respectively

Intercepts

The intercepts of a function are the points where the graph of the function crosses the x-axis

The function

The function is given as:

[tex]3x + 4y = 24[/tex]

Set y to 0, to calculate the x-intercept

[tex]3x + 4(0) = 24[/tex]

[tex]3x = 24[/tex]

Divide both sides by 3

[tex]x = 8[/tex]

Set x to 0, to calculate the y-intercept

[tex]3(0) + 4y = 24[/tex]

[tex]4y = 24[/tex]

Divide both sides by 4

[tex]y = 6[/tex]

Hence, the x and the y-intercepts of the function are 8 and 6, respectively

Read more about intercepts at:

https://brainly.com/question/26233

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