Question

Find the $x$ - and $y$ -intercepts. $$ 5 x-4 y=20 $$

   Find the $x$ - and $y$ -intercepts.
$$
5 x-4 y=20
$$

Elementary Algebra

Elementary Algebra

John Redden 1st Edition

Chapter 3, Problem 7

Instant Answer

Solved by Expert James Kiss

01/26/2022

Step 1

So, we have: $$ 5x - 4(0) = 20 $$ which simplifies to: $$ 5x = 20 $$ Show more…

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Find the $x$ - and $y$ -intercepts. $$ 5 x-4 y=20 $$

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Key Concepts

linear equations

Linear equations in two variables are mathematical statements that describe straight lines on a coordinate plane. They are usually written in forms such as standard form or slope-intercept form. Understanding linear equations is essential for solving problems related to intercepts and for graphing lines accurately.

x-intercept

The x-intercept is the point where a graph crosses the x-axis. To find it for any equation, you set y to zero and solve for x. This concept is fundamental in coordinate geometry as it helps in understanding the behavior and position of a graph on the Cartesian plane.

y-intercept

The y-intercept is the point where a graph meets the y-axis. You can determine it by setting x to zero and solving for y. This key concept is crucial for graphing and analyzing linear relationships, as it provides a starting point for the line when plotted.

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