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Chapter 3: Q. 48 (page 252)

Graph the equation x-y=-4using the intercepts.

Short Answer

Expert verified

The graph of the equation is

.

Step by step solution

01

Given information

The equation is given asx-y=-4for the graph.

02

Find the intercepts

Apply the definition of the intercepts to find the intercepts of the given equation.

  • The intercepts of the given equation are the points where the corresponding variables become zero.
  • Hence substitute the associated variables zero into the given equation to find the required intercepts.

x-y=-4x-0=-4x=-4x-y=-40-y=-4-y=-4y=4

03

Graph the equation using the intercepts

The graph of the linear equation is a straight line that passes through its intercepts.

  • As obtained, the intercepts of the given equation are (-4,0) and (0,4).
  • Hence join the intercepts using a straight line to get the required graph of the equation.

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Most popular questions from this chapter

The equation P=31+1.75wmodels the relation between the amount of Tuyet's monthly water bill payment, P, in dollars, and the number of units of water, w, used.

(a) Find Tuyet's payment for a month when 0 units of water are used.

(b) Find Tuyet's payment for a month when 12 units of water are used.

(c) Interpret the slope and P-intercept of the equation.

(d) Graph the equation.

Write the inequality shown by the shaded region in the graph with the boundary line 3x-y=6.

Determine whether each ordered pair is a solution to the inequality x + y > 4.

鈸� (6, 1) 鈸� (鈭�3, 6) 鈸� (3, 2) 鈸� (鈭�5, 10) 鈸� (0, 0)

Write the inequality shown by the shaded region in the graph with the boundary line

x 鈭� 2y = 6.

Determine whether each ordered pair is a solution to the inequality y < x 鈭� 3.

鈸� (0, 1) 鈸� (鈭�2, 鈭�4)

鈸� (5, 2) 鈸� (3, 鈭�1) 鈸� (鈭�1, 鈭�5)
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