Question

A linear function has a slope of Negative StartFraction 7 Over 9 EndFraction and a y-intercept of 3. How does this function compare to the linear function that is represented by the equation y + 11 = Negative StartFraction 7 Over 9 EndFraction (x minus 18)?

Answer 1

They are the same line written in different forms.

Answer 2

They are the same line written in different forms.

Explanation:

Given a linear function with a slope of
`-(7)/(9)` and a y-intercept of 3.

The equation of the line in the slope-intercept form is given as:

`y=-(7)/(9)x+3`

Given the other line,

`y+11=-(7)/(9)(x-18)`

Simplified:

`y+11=-(7)/(9)x+14\\y=-(7)/(9)x+14-11\\y=-(7)/(9)x+3`

The two lines are one and the same line.