Chapter 4: Q. 316 (page 520)

In the following exercises, graph the line of each equation using its slope and y-intercept.
$3 x - 4 y = 8$

Short Answer

Expert verified

The required graph of line is:

Step by step solution

Step 1. Given information.

The equation $3 x - 4 y = 8$ .

Step 2. Find slope and y-intercept.

Solve the given equation for y :

$3 x - 4 y = 8 4 y = 3 x - 8 y = \frac{3}{4} x - 2$

Now, compare the obtained equation with slope-intercept form $y = m x + b$ .

$m = \frac{3}{4}; b = - 2$

So, slope is $\frac{3}{4}$ and y-intercept is -2.

Step 3. Graph the line using y-intercept and slope.

Plot the y-intercept $(0, - 2)$ and for second point, use the slope which is given as $\frac{3}{4}$ that is;

$r i s e = 3, r u n = 4$

So, plot the second point at $(4, 1)$ .

Then, graph the line joining these two points:

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In the following exercises, graph the line of each equation using its slope and y-intercept.
$3 x - 4 y = 8$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find slope and y-intercept.

Step 3. Graph the line using y-intercept and slope.

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In the following exercises, graph the line of each equation using its slope and y-intercept.3x-4y=8

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find slope and y-intercept.

Step 3. Graph the line using y-intercept and slope.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Geometry

Probability and Statistics

Calculus

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, graph the line of each equation using its slope and y-intercept.
$3 x - 4 y = 8$