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$x$ and $y$ intercept of $3x-4y=24$

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Describe the graph of a linear equation

Full solution

Q.

x

and

y

intercept of

3x-4y=24

Identify x-intercept: Identify the x-intercept. $\newline$ The x-intercept occurs where $y = 0$ . To find the x-intercept, we substitute $y = 0$ into the equation and solve for $x$ . $\newline$ $3x - 4(0) = 24$ $\newline$ $3x = 24$ $\newline$ $x = \frac{24}{3}$ $\newline$ $x = 8$
Calculate x-intercept: Identify the y-intercept. $\newline$ The y-intercept occurs where $x = 0$ . To find the y-intercept, we substitute $x = 0$ into the equation and solve for $y$ . $\newline$ $3(0) - 4y = 24$ $\newline$ $-4y = 24$ $\newline$ $y = \frac{24}{(-4)}$ $\newline$ $y = -6$

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