Question

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

Answer 1

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:

$3x + 4y = 24$

Set y to 0, to calculate the x-intercept

$3x + 4(0) = 24$

$3x = 24$

Divide both sides by 3

$x = 8$

Set x to 0, to calculate the y-intercept

$3(0) + 4y = 24$

$4y = 24$

Divide both sides by 4

$y = 6$

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

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