99.0k views
1 vote
Graph the equation below.



y=−12x−3

Graph the equation below. y=−12x−3-example-1
User Ozrix
by
8.4k points

1 Answer

2 votes

Considering the definition of a line and the x- and y-intercept, the attached graph is obtained.

Definition of linear equation

A linear equation o line can be expressed in the form y = mx + b

where

  • x and y are coordinates of a point.
  • m is the slope.
  • b is the ordinate to the origin.

Definition of y-intercept

The ordinate to the origin is the point where a line crosses the y-axis.

To find the y-intercept of a function, you simply do x = 0 and replace in the equation of the line. Then you solve the equation you obtained.

In this case, if x=0, you replace this value in the equation y=-1/2x-3:

y= -1/2×0 -3

Solving:

y= 0 -3

y= -3

The y-intercept is (x;y)= (0; -3).

Definition of x-intercept

The x-intercept is the point where a line crosses the x-axis.

To find the x-intercept of a function, you simply do y = 0 and replace in the equation of the line. Then you solve the equation you obtained.

In this case, if y=0, you replace this value in the equation y=-1/2x-3:

0= -1/2x -3

Solving:

3= -1/2x

3÷(-1/2)=x

-6= x

The x-intercept is (x;y)= (-6; 0).

Graphic

Considering the x- and y-intercepts, the attached graph is obtained.

Graph the equation below. y=−12x−3-example-1
User Tengu
by
8.4k points
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