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Determine the x- and y-intercepts of the graph of x - 4y = 18. Then plot the intercepts to graph the equation.

User Ajushi
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Considering the definition of a line and the x and y-intercept, the y-intercept of the line that represented by the equation: x -4y= 18 is (0;-9/2). and the x-intercept is (18;0). The graph is attached.

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.

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.

y-intercept in this case

If x=0, you replace this value in the equation x - 4y = 18:

0 - 4y = 18

Solving:

-4y= 18

y= 18÷ (-4)

y= -9/2

Finally, the y-intercept is (x;y)= (0; -9/2).

x-intercept in this case

If y=0, you replace this value in the equation x - 4y = 18:

x - 4×0 = 18

Solving:

x - 0= 18

x= 18

Finally, the x-intercept is (x;y)= (18; 0).

Determine the x- and y-intercepts of the graph of x - 4y = 18. Then plot the intercepts-example-1
User JerryZhou
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