3 ORW=2 Which equations and/or functions represent the graphed line? Select three options ******** (A) f(x)=1/5x-4 . (B) f(x) =1/2x +2 . (C) f(x)=1/2x+1 . (D) y-3=1/2 (x-2) . (E) y-1 = 1/2 (x+2)

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rosiethesz rosiethesz

04-03-2024
Mathematics

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3 ORW=2 Which equations and/or functions represent the graphed line? Select three options ******** (A) f(x)=1/5x-4 . (B) f(x) =1/2x +2 . (C) f(x)=1/2x+1 . (D) y-3=1/2 (x-2) . (E) y-1 = 1/2 (x+2)

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kaydenmitchem kaydenmitchem · Answer 1 · 2024-03-04T17:13:49+01:00

To determine which equations and/or functions represent the graphed line with a slope of 3 and a y-intercept of 2, we can compare the given options with the slope-intercept form of a linear equation, which is y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope = 3

Y-intercept = 2

Now, we can check each option:

A. f(x) = 1/5x - 4

This equation has a slope of 1/5, not matching the given slope of 3.

B. f(x) = 1/2x + 2

This equation has a slope of 1/2, not matching the given slope of 3.

C. f(x) = 1/2x + 1

This equation has a slope of 1/2, not matching the given slope of 3.

D. y - 3 = 1/2(x - 2)

By rearranging this equation into slope-intercept form (y = mx + b), we get:

y = 1/2x + 2

This equation matches the given slope of 3 but not the y-intercept of 2.

E. y - 1 = 1/2(x + 2)

By rearranging this equation into slope-intercept form (y = mx + b), we get:

y = 1/2x + 1

This equation doesn't match the given slope of 3 or the y-intercept of 2.

Among the options provided, none of the equations perfectly match the given slope of 3 and y-intercept of 2.

3 ORW=2 Which equations and/or functions represent the graphed line? Select three options ******** (A) f(x)=1/5x-4 . (B) f(x) =1/2x +2 . (C) f(x)=1/2x+1 . (D) y-3=1/2 (x-2) . (E) y-1 = 1/2 (x+2)​

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3 ORW=2 Which equations and/or functions represent the graphed line? Select three options ******** (A) f(x)=1/5x-4 . (B) f(x) =1/2x +2 . (C) f(x)=1/2x+1 . (D) y-3=1/2 (x-2) . (E) y-1 = 1/2 (x+2)