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

Answer:

They are the same line written in different forms.

Answer 2

Answer:

They are the same line written in different forms.

Step-by-step explanation:

Given a linear function with a slope of $-\frac{7}{9}$ and a y-intercept of 3.

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

$y=-\frac{7}{9}x+3$

Given the other line,

$y+11=-\frac{7}{9}(x-18)$

Simplified:

$y+11=-\frac{7}{9}x+14\\y=-\frac{7}{9}x+14-11\\y=-\frac{7}{9}x+3$

The two lines are one and the same line.