Which of the viewing windows would show both the x

Which of the viewing windows would show both the $x$ - and $y$ -intercepts of the graph of $780 x-42 y=5460 ?$
a. [-20,20,2] by [-40,40,10]
b. [-10,10,1] by [-10,10,1]
c. [-10,10,1] by [-10,150,10]
d. [-10,10,1] by [-150,10,10]

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Key Concepts

Graphing Techniques

Graphing involves plotting key points, such as intercepts, and understanding the scale and range necessary to capture all important features of a graph. Adjusting the viewing window appropriately ensures that important aspects like intercepts are visible and the graph is accurately represented.

Intercepts

Intercepts are the points where a graph crosses the coordinate axes. The x?intercept is found by setting y to zero and solving for x, while the y?intercept is found by setting x to zero and solving for y. These points are crucial for understanding the behavior of linear equations and serve as starting points for graphing the line.

Linear Equations

Linear equations in two variables can be written in standard form or slope-intercept form. Analyzing such equations typically involves solving them for one variable by setting the other to zero to find the intercepts, which provides insight into the line's position and orientation in the plane.

Coordinate Plane

The coordinate plane is defined by an x-axis and a y-axis, which divide the plane into quadrants. Selecting the right range for both axes is vital when creating a viewing window for a graph, as it must encompass all the relevant parts of the equation's graph, including its intercepts.

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