186k views
0 votes
(02.04 MC) Write the equation of the line that passes through the points (3, 6) and (4, 10) using function notation. f(x) = 4x − 6 f(x) = x + 4 y = x + 4 y = 4x − 6

User Jamgold
by
8.2k points

2 Answers

6 votes

Answer:

f(x) = 4x − 6

Explanation:

User Vehsakul
by
8.5k points
3 votes

Answer

The equation of line in function notation is:


f(x)=4x-6

Step-by-step explanation:

Given points:

(3,6) and (4,10)

To find the equation of the line in function notation.

Solution:

In order to find the equation of the line we will first find the slope of the line.

The slope of a line passing through points
(x_1,y_1) and
(x_2,y_2) the slope can be given as:


m=(y_2-y_1)/(x_2-x_1)

Plugging in the given points to find the slope of the line.


m=(10-6)/(4-3)


m=(4)/(1)


m=4

Equation of line can be written in point slope form as:


y-y_1=m(x-x_1)

where
(x_1,y_1) is a point on the line.

Using point (3,6)


y-6=4(x-3)

Using distribution:


y-6=4x-12

Adding 6 both sides.


y-6+6=4x-12+6


y=4x-6 [Equation of line]

To write the equation in function notation, we will replace
y with
f(x).

So, the equation of the line in function notation can be given as:


f(x)=4x-6

User Dylan Anlezark
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories