   Chapter 8.4, Problem 11E

Chapter
Section
Textbook Problem

# Draw the graph of each equation using the slope and y intercept: 2 x + y = 6

To determine

To graph: The equation 2x+y=6 with the use of slope and y-intercept.

Explanation

Given Information:

The provided equation is, 2x+y=6.

Formula used:

Slope-Intercept form:

When the equation of the straight line is written in the form

y=mx+b

Then, the slope of the line is represented by m and the y-intercept is represented by b.

Graph:

Consider the provided equation 2x+y=6,

To calculate the value of slope and y-intercept, solve the equation 2x+y=6 for y.

Therefore, subtract 2x from both the sides of the equation,

2x+y=62x+2x+y=2x+6y=2x+6

Thus, the equation of the Slope-Intercept form is, y=2x+6.

Now, compare the equation y=2x+6 with the general slope-intercept form y=mx+b.

Thus, m=2,b=6

Now, rewrite the slope as ratio with 1 in denominator

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