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Chapter 2: Q33. (page 105)

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

A.-4 B.-14C.14D.4

Short Answer

Expert verified

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

Step by step solution

01

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=mx+b where mis the slope andbis the y-intercept.

02

Step-2 – Simplify the equation   

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

y鈭�2=4x+1鈬�y鈭�2=4x+4

03

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,

鈬�y鈭�2+2=4x+4鈭�2(add2onbothsides)鈬�y=4x+2

This is of the form y=mx+b

Hence, the slope is m = 4

Therefore, option D is correct.

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