166k views
5 votes
11.Graph the function.For the function whose graph is shown below, which is the correct formula for the function?4ns2-4-224Functionss and Functions

11.Graph the function.For the function whose graph is shown below, which is the correct-example-1

1 Answer

3 votes

To find the formula for the function, we would find the equation of the line in the slope intercept form which is expressed as

y = mx + c

where

m represents slope

c represents y intercept. This is also the point where the line cuts the y axis. Looking at the graph,

c = - 2

We would find the slope by applying the formula,

m = (y2 - y1)/(x2 -x1)

where

y2 and y1 are initial and final values of the y coordinate of two suitable points chosen on the graph

x2 and x1 are initial and final values of the x coordinate of two suitable points chosen on the graph

From the graph,

x1 = - 1, y1 = - 4

x2 = 3, y2 = 4

m = (4 - - 4)/(3 - - 1) = (4 + 4)/(3 + 1) = 8/4

m = 2

Thus, the equation of the graph is

y = 2x - 2

Thus, the correct formula for the function is

y = 2x - 2

User Deep Sehgal
by
8.6k 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