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Chapter 11: Q. 1 (page 772)

Graph the equation: $y = 3 x + 2$

Short Answer

Expert verified

Graph of $y = 3 x + 2$ is

Step by step solution

01

Step 1. Give data

The given equation is

$y = 3 x + 2$

02

Step 2. Properties of equation

Compare the equation with the standard form of the equation of a line

$y = 3 x + 2 y = m x + b$

So the line of equation will have a slope of role="math" $m = 3$

andy-intercept is $(0, 2)$

03

Step 3. Graph

Plot a line of slope $m = 3$ and y-intercept $(0, 2)$ to plot the graph of $y = 3 x + 2$

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Most popular questions from this chapter

The product of two numbers is $4$ , and the sum of their squares is $8$ . Find the numbers.

In Problems 23–34, graph each system of linear inequalities by hand. Verify your results using a graphing utility

$\{\begin{cases} x + 4 y \leq 8 \\ x + 4 y \geq 4 \end{cases}$

In Problems 5–24, graph each equation of the system. Then solve the system to find the points of intersection.

$y = x - 1; y = x^{2} - 6 x + 9$

Verify that the values of the variables listed are solutions of the system of equations.

$\{\begin{matrix} \begin{array}{rcl} 3 x + 3 y + 2 z & = & 4 \\ x - y - z & = & 0 \end{array} \\ 2 y - 3 z = - 8 \end{matrix} x = 1, y = - 1, z = 2; (1, - 1, 2)$

Solve each system of equations. If the system has no solution, say that it is inconsistent

x - y + z = -4

2x - 3y + 4z = -15

5x + y - 2z = 12

See all solutions

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