Find the x- and y-intercepts of the graph of x+6y=11. State each answer as an integer or an improper fraction in simplest form.

x intercept is 100 and y intercept is 5/3 for equation of line x + 6y = 11.

What is intercept ?

A y-intercept, also known as a vertical intercept, is the point where the graph of a function or relation intersects the y-axis of the coordinate system in analytical geometry, using the widely used convention that the horizontal axis represents a variable x and the vertical axis represents a variable y. As a result, x = 0 is satisfied at these sites.

Interceptions are what? A line’s x-intercept and y-intercept are the points at which the x- and y-axes cross, respectively.

The given equation of the graph is x + 6y = 11

Let us rewrite this equation in slope intercept form

6y=11-x

y=11/6-x/6

y=-1/6x+11/6

So the y intercept is 5/3.

To find x intercept we have to put y value as zero

0 = -1/6x+5/3

Subtract 5/3 on both sides

-5/3 = -1/6x

300/3=x

x=100

y intercept: 5/3, x intercept: 100.

Hence x intercept is 100 and y intercept is 5/3 for line x + 6y = 11.

interceptis 100 and yinterceptis 5/3 forequationof line x + 6y = 11.What is intercept ?intercept, also known as a verticalintercept, is the point where thegraphof afunctionor relationintersectsthe y-axis of the coordinate system inanalyticalgeometry, using the widely usedconventionthat thehorizontalaxis represents avariablex and theverticalaxis represents avariabley. As a result, x = 0 is satisfied at these sites.Interceptionsare what? A line’s x-interceptand y-interceptare the points at which the x- and y-axes cross, respectively.equationof the graph is x + 6y = 11equationin slopeinterceptforminterceptis 5/3.interceptwe have to put y value as zerointercept: 5/3, xintercept: 100.interceptis 100 and yinterceptis 5/3 for line x + 6y = 11.interceptfrom the given link