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)?

Respuesta :

Answer:

They are the same line written in different forms.

Step-by-step explanation:

Given a linear function with a slope of [tex]-\frac{7}{9}[/tex] and a y-intercept of 3.

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

[tex]y=-\frac{7}{9}x+3[/tex]

Given the other line,

[tex]y+11=-\frac{7}{9}(x-18)[/tex]

Simplified:

[tex]y+11=-\frac{7}{9}x+14\\y=-\frac{7}{9}x+14-11\\y=-\frac{7}{9}x+3[/tex]

The two lines are one and the same line.

Answer:

They are the same line written in different forms.