Chapter 2: Q33. (page 105)

33.What is the slope of a line parallel to $y - 2 = 4 (x + 1)$ ?
$A . -4 B. \frac{- 1}{4} C. \frac{1}{4} D.4$

Short Answer

Expert verified

The slope of a line parallel to $y - 2 = 4 (x + 1)$ is 4.

Step by step solution

Step-1 – Apply the concept of slope-intercept form

The slope of a line is the ratio of the change in the y-coordinates to the change in the x- coordinates.

The slope-intercept form of the equation of a line is given by $y = m x + b$ where mis the slope andbis the y-intercept.

Step-2 – Simplify the equation

Given line is $y - 2 = 4 (x + 1)$ . Simplifying the given line the following is obtained

$\begin{matrix} y - 2 = 4 (x + 1) \\ \Rightarrow y - 2 = 4 x + 4 \end{matrix}$

Step-3 – Convert the equation of the given line into slope-intercept form

In order to convert the equation obtained in step 2 into the slope intercept form, keep the variable y on the left-hand side and bring rest of the things to the right-hand side. Therefore,

$\begin{matrix} \Rightarrow y - 2 + 2 = 4 x + 4 - 2 (add2onbothsides) \\ \Rightarrow y = 4 x + 2 \end{matrix}$

This is of the form $y = m x + b$

Hence, the slope is m = 4

Therefore, option D is correct.

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Column A	Column B
the average (arithmetic mean) of three integers x, y, z and 29	30

33.What is the slope of a line parallel to $y - 2 = 4 (x + 1)$ ?
$A . -4 B. \frac{- 1}{4} C. \frac{1}{4} D.4$

Short Answer

Step by step solution

Step-1 – Apply the concept of slope-intercept form

Step-2 – Simplify the equation

Step-3 – Convert the equation of the given line into slope-intercept form

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33.What is the slope of a line parallel to y-2=4x+1?A.-4 B.-14C.14D.4

Short Answer

Step by step solution

Step-1 – Apply the concept of slope-intercept form

Step-2 – Simplify the equation

Step-3 – Convert the equation of the given line into slope-intercept form

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Applied Mathematics

Pure Maths

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

33.What is the slope of a line parallel to $y - 2 = 4 (x + 1)$ ?
$A . -4 B. \frac{- 1}{4} C. \frac{1}{4} D.4$