At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Complete the equation for the linear function whose graph contains the points
(9, 7) and (4, –8).

Complete The Equation For The Linear Function Whose Graph Contains The Points 9 7 And 4 8 class=

Sagot :

y-7=3(x-9) or it could be y=3x-20

Answer:

[tex]\boxed{\boxed{y-7=3(x-9)}}[/tex]

Step-by-step explanation:

The given points are [tex](9, 7),(4, -8)[/tex]

We can get the line equation passing through these points by applying point slope formula.

The slope of the line joining these two points would be,

[tex]=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]=\dfrac{-8-7}{4-9}[/tex]

[tex]=\dfrac{-15}{-5}[/tex]

[tex]=3[/tex]

The general point slope form of straight line is,

[tex]y-y_1=m(x-x_1)[/tex]

Putting the slope as 3 and the point as (9, 7),

[tex]y-7=3(x-9)[/tex]