Question

Graph the equation. $$2 x+y=4$$

Name: Problem 70, Chapter 2: Algebra and Trigonometry
Uploaded: 2020-07-07T18:27:53-08:00
Duration: 1 min 26 s
Channel: Ankit Gupta
Description: Graph the equation. 2 x+y=4

   Graph the equation.
$$2 x+y=4$$

Algebra and Trigonometry

Judith A. Beecher,… 4th Edition

Chapter 2, Problem 70

Instant Answer

Solved by Expert Ankit Gupta

07/07/2020

Step 1

So, we rewrite the equation $2x + y = 4$ as $y = -2x + 4$. Show more…

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Graph the equation. $$2 x+y=4$$

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Key Concepts

Linear Equations

A linear equation in two variables represents a straight line when graphed on the Cartesian plane. It typically takes the form Ax + By = C and describes a relationship where the rate of change between the variables remains constant.

Slope-Intercept Form

The slope-intercept form, written as y = mx + b, clearly shows the slope (m) of the line and the y-intercept (b), making it easier to graph the line by indicating its steepness and the point where it crosses the y-axis.

Intercepts

Intercepts are the points where the line crosses the coordinate axes. The y-intercept is found by setting x to zero, and the x-intercept is found by setting y to zero. These points are useful for quickly sketching the graph of a linear equation.

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