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5.) Find the intercepts of each equation and graph

3x-5y=30

$5$ .) Find the intercepts of each equation and graph $\newline$ $3 x-5 y=30$

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Describe the graph of a linear equation

Full solution

Q.

5

.) Find the intercepts of each equation and graph

\newline

3 x-5 y=30

Find y-intercept: Find the y-intercept by setting $x$ to $0$ . To find the y-intercept, we substitute $x = 0$ into the equation and solve for $y$ . $3(0) - 5y = 30$ $-5y = 30$ $y = -6$ The y-intercept is the point $(0, -6)$ .
Find x-intercept: Find the x-intercept by setting $y$ to $0$ . To find the x-intercept, we substitute $y = 0$ into the equation and solve for $x$ . $3x - 5(0) = 30$ $3x = 30$ $x = 10$ The x-intercept is the point $(10, 0)$ .
Graph the intercepts: Graph the intercepts and draw the line. Plot the y-intercept $(0, -6)$ and the x-intercept $(10, 0)$ on a coordinate plane. Draw a line through these two points to represent the equation $3x - 5y = 30$ . This line will extend infinitely in both directions and will cross the y-axis at $(0, -6)$ and the x-axis at $(10, 0)$ .

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