Question

Graph the equation. $$2 x+5 y=-10$$

   Graph the equation.
$$2 x+5 y=-10$$

Precalculus: Graphs and Models, A Right Triangle Approach

Precalculus: Graphs and Models, A Right Triangle Approach

Marvin L. Bittinger,… 6th Edition

Chapter 1, Problem 33

Instant Answer

Solved by Expert Ankit Gupta

07/05/2020

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The given equation is \(2x + 5y = -10\). Show more…

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Graph the equation. $$2 x+5 y=-10$$

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Key Concepts

Linear Equation in Two Variables

A linear equation in two variables is an equation that forms a straight line when graphed on the coordinate plane. It typically represents a relationship between x and y that can be written in a standard form, such as Ax + By = C, where A, B, and C are constants.

Slope-Intercept Form

The slope-intercept form of a linear equation, written as y = mx + b, is a way to express a line by identifying its slope (m) and its y-intercept (b). Converting an equation to this form makes it easier to graph the line and understand its rate of change.

Graphing by Finding Intercepts

One common method for graphing a linear equation is to determine the x-intercept and y-intercept, which are the points where the line crosses the x-axis and y-axis respectively. This method provides two distinct points that can be connected with a straight line to represent the equation.

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