Question

Express y in terms of x in the equation 2x-3y = 12. Find the points where the line represented by this equation cuts the x-axis and y-axis.

Answer 1

Answer:

Given:

• Express y in terms of x in the equation 2x – 3y = 12.

Find:

• Find the points where the line represented by this equation cuts x axis and y axis.

Calculations:

⇢ 2x - 3y = 12

⇢ 2x - 12 = 3y

⇢ y = 2/3x - 4

Adding y = 0 in the given equation, we get:

⇢ 2x - 3(0) = 12

⇢ 2x - 0 = 12

⇢ x = 6

Therefore, value of x in the equation is 6.

Adding x = 0 in the given equation, we get:

⇢ 2(0) - 3y = 12

⇢ 0 - 3y = 12

⇢ -3y = 12

⇢ y = -4

Therefore, value of y in the equation is -4.

Therefore, (6 , 0) and (0, -4) are the two points which cuts x-axis and y-axis.