Question \( 80,2.1 .17 \) Wart 1 of 2 \( 2 x+5 y=20 \) What is/are the x-intercept(s)? Select the correct choice below and, if necessary, fill in the answer box with the graph, find the \( x \)-intercepts and \( y \)-intercepts of the graph of the equation. 56.25 of your choice. A. The \( x \)-intercept(s) is/are \( \square \). (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no \( x \)-intercepts.

To find the \( x \)-intercept of the equation \( 2x + 5y = 20 \), you need to set \( y \) to 0. Plugging that in gives you \( 2x + 5(0) = 20 \), which simplifies to \( 2x = 20 \). Dividing both sides by 2, you find \( x = 10 \). So, the \( x \)-intercept is \( (10, 0) \). Now let’s flip the coin and check out the historical significance of linear equations! Early algebra can be traced back to ancient civilizations like the Babylonians who had methods for solving equations. Linear equations became more refined in the 17th century with the advent of Cartesian coordinates, thanks to René Descartes! His work laid the groundwork for modern algebra and geometry, paving the way for graphical approaches we use today.