Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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]