The equation y minus StartFraction 7 Over 2 EndFraction = one-half (x minus 4) is written in point-slope form. What is the y-intercept of the equation?

Negative StartFraction 11 Over 2 EndFraction

Negative one-half

One-half

Three-halves

Explanation:

Given the equation

y-7/2=1/2(x-4)

This is a straight line equation and it is generally written in the form

y=mx+c

Where m is the slope and c is the intercept on y axis when x =0

Let rearrange the given equation

y-7/2=1/2(x-4)

Multiply through by 2

2y-7=x-4

2y=x-4+7

2y=x+3

Divide through by 2

y=1/2x + 3/2

Comparing this to equation of a line (y=mx+c),Then the slope of the equation m=1/2 and the intercept c=3/2

c=1½

The intercept on y axis is 1½.

The answer is one-half

the answer is one half

Explanation:

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