Line J has a y-intercept of 6 and passes through point (a,b). What is

Question

Line J has a y-intercept of 6 and passes through point (a,b). What is the slope of Line J in terms of a and b?

A. (a−6)/b
B. (a−b)/6
C. (6−a)/b
D. (6−b)/a
E. (b−6)/a

Kudos for a correct  solution .

BrainLab · Answer

Given points (0,6) and (a,b) Slope= \frac{6-b}{0-a}  =  \frac{b-6}{a}  Answer (E)

m2k · Answer

Here the points are given as (a,b) and (0,6) because the y intercept is 6 and hence x will be 0.

Putting m = y2-y1/x2-x1 we would get b-6/a-0 => (b-6)/a

Answer E

thembaseeker · Answer

The two points given here are (0,6) and (a,b)

Slope m =b-6/a

Answer: E

riteshgmat · Answer

Just another alternate way.

Equation of line :

y = mx + b, where b is the y-intercept & m is the slope.

We have given y-intercept of this line as 6 and the line passes through point(a,b).

Therefore,

b = ma + 6

ma = ( b - 6 )

m =  \frac{( b - 6 )}{a}

Answer is E

Bunuel · Answer

VERITAS PREP OFFICIAL SOLUTION:

You know that the line goes through point (a,b) and the y-intercept of 6 tells you that the line also goes through point (0,6). So you can use the "rise over run" slope formula to calculate the slope. Recognizing that the five answer choices focus on a,b, and 6, you should see that you should subtract 0 and 6 (subtracting 0 is the same as doing nothing at all) to get your math looking like the answer choices. So you'll set up the equation:

(b−6)/(a−0), and end up with  answer choice E .

LogicGuru1 · Answer

when x = 0 then y= 6
when x = a then y=b

slope =\frac{y2-y1}{x2-x1}

slope =\frac{6-b}{a-0}

slope =\frac{6-b}{a}

Answer is E

iamrocky007 · Answer

y-intercept is 6, therefore the line passes through the point (0,6). Also, given that the line also passes through point (a,b) therefore the slope of the line is (y2-y1)/(x2-x1)=(b-6)/a. Hence, option E

Line J has a y-intercept of 6 and passes through point (a,b). What is

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GMAT Problem Solving (PS) Questions

Line J has a y-intercept of 6 and passes through point (a,b). What is

Prep Toolkit

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