Chapter 4: Q8. (page 217)

Graph each equation.
$6 x - 4 y = 16$

Short Answer

Expert verified

The graph of the equation is:

Step by step solution

Step 1. State the concept of slope-intercept of an equation.

The slope-intercept form of a linear equation is $y = m x + b$ , where $m$ is the slope and is the $y$ -intercept.

Step 2. Write equation of a line in slope-intercept form.

Rewrite the equation $6 x - 4 y = 16$ in slope-intercept form.

The equation of the straight line is:

localid="1647498079774" $\begin{array}{l} 6 x - 4 y = 16 \\ 6 x - 4 y - 6 x = 16 - 6 x Subtract6 x frombothsides \\ \frac{- 4 y}{- 4} = \frac{- 6 x + 16}{- 4} Dividebothsidesby - 4 \\ y = \frac{3}{2} x - 4 \end{array}$

The slope is $m = \frac{3}{2}$ and the y-intercept is $(0, - 4)$ .

Step 3. Graph the equation.

To graph the equation, plot the $y$ -intercept $(0, - 4)$ . The slope is $\frac{rise}{run} = \frac{3}{2}$ . From $(0, - 4)$ , move up 3 units and right 2 units. Plot the point. Draw the line through the two points.

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Graph each equation.
$6 x - 4 y = 16$

Short Answer

Step by step solution

Step 1. State the concept of slope-intercept of an equation.

Step 2. Write equation of a line in slope-intercept form.

Step 3. Graph the equation.

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Graph each equation.6x−4y=16

Short Answer

Step by step solution

Step 1. State the concept of slope-intercept of an equation.

Step 2. Write equation of a line in slope-intercept form.

Step 3. Graph the equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Decision Maths

Geometry

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Graph each equation.
$6 x - 4 y = 16$