Q3. 3. Explain how to find the slope... [FREE SOLUTION]

Chapter 2: Q3. (page 78)

3. Explain how to find the slope of a line parallel to the graph of $3 x - 5 y = 2$ .

Short Answer

Expert verified

The slope of a line parallel to the graph of $3 x - 5 y = 2$ is $\frac{3}{5}$ .

Step by step solution

– State the concept

The general equation of a straight line in slope-intercept form is given as $y = m x + c$ , where $m$ is the slope and $c$ is the y-intercept.

The slopes of parallel lines are equal.

– List the given data

The given equation of the line is $3 x - 5 y = 2$ .

– Find the slope

$3 x - 5 y = 2$ (Given equation)

$3 x - 5 y - 3 x = 2 - 3 x$ (Subtract $3 x$ from both sides)

$- 5 y = 2 - 3 x$ (Simplify)

$\frac{- 5 y}{- 5} = \frac{2 - 3 x}{- 5}$ (Divide both sides by -5)

$y = \frac{3}{5} x - \frac{2}{5}$ (Simplify)

Comparing the given equation with $y = m x + c$ , $m = \frac{3}{5}$ and $c = - \frac{2}{5}$

This implies that the slope of the given line is $\frac{3}{5}$ .

Since a line parallel to this line will have the same slope, such a line will also have a slope of $\frac{3}{5}$ .

So, the slope of a line parallel to the graph of the given equation is $\frac{3}{5}$ .

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3. Explain how to find the slope of a line parallel to the graph of $3 x - 5 y = 2$ .

Short Answer

Step by step solution

– State the concept

– List the given data

– Find the slope

One App. One Place for Learning.

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91影视

3. Explain how to find the slope of a line parallel to the graph of 3x-5y=2.

Short Answer

Step by step solution

– State the concept

– List the given data

– Find the slope

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Theoretical and Mathematical Physics

Calculus

Logic and Functions

Statistics

Geometry

Study anywhere. Anytime. Across all devices.

3. Explain how to find the slope of a line parallel to the graph of $3 x - 5 y = 2$ .