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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?

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by BTGmoderatorDC » Wed Sep 16, 2020 6:22 pm
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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



OA E

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Re: 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?

by Scott@TargetTestPrep » Fri Sep 18, 2020 6:05 am
BTGmoderatorDC wrote: ↑
Wed Sep 16, 2020 6:22 pm
 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



OA E

Solution:

We are given that line J has a y-intercept of 6. If we let m be the slope of line J, then the equation of line J, in slope-intercept form, is:

y = mx + 6

Since (a, b) is a point of line J, we have:

b = ma + 6

b - 6 = ma

(b - 6)/a = m

Answer: E

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