Chapter 2: Q15. (page 78)

State the slope and y-intercept of the graph of each equation.
$2 x - 4 y = 10$

Short Answer

Expert verified

The slope of the given line is $\frac{1}{2}$ and the y-intercept of the given line is $- \frac{5}{2}$ .

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.

– List the given data

The given equation of the line is $2 x - 4 y = 10$ .

– Identify the slope and intercept

Convert the given equation to slope-intercept form as follows:

$2 x - 4 y = 10$ (Given equation)

$2 x - 4 y - 2 x = 10 - 2 x$ (Subtract $2 x$ from both sides)

$- 4 y = 10 - 2 x$ (Simplify)

$\frac{- 4 y}{- 4} = \frac{10 - 2 x}{- 4}$ (Divide both sides by -4)

$y = \frac{1}{2} x - \frac{5}{2}$ (Simplify)

So, the given equation in slope-intercept form is $y = \frac{1}{2} x - \frac{5}{2}$ .

Comparing the obtained equation, $y = \frac{1}{2} x - \frac{5}{2}$ with $y = m x + c$ , $m = \frac{1}{2}$ and $c = - \frac{5}{2}$ .

This implies that the slope of the given line is $\frac{1}{2}$ and the y-intercept of the given line is $- \frac{5}{2}$ .

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State the slope and y-intercept of the graph of each equation.
$2 x - 4 y = 10$

Short Answer

Step by step solution

– State the concept

– List the given data

– Identify the slope and intercept

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State the slope and y-intercept of the graph of each equation.2x-4y=10

Short Answer

Step by step solution

– State the concept

– List the given data

– Identify the slope and intercept

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Statistics

Decision Maths

Geometry

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

State the slope and y-intercept of the graph of each equation.
$2 x - 4 y = 10$