Coordinate Geometry: The line 7y + 4x = 28 cuts the y-axis at A and the x-axis at B. Calculate the length of AB.

Question

The line 7y + 4x = 28 cuts the y-axis at A and the x-axis at B. Calculate the length of AB. The question is pretty short.

Answer 1

The x-intercept is (7,0) and the y-intercept is (0,4). So, use the distance formula: d = √(x₂ - x₁)² +(y₂ - y₁)².

AB = √(7-0)² + (0-4)²  = √(49 + 16)

AB = √65

 

 

 

 

 

 

 

 

 

 

Answer 2

The y-intercept, A, is (0, 4)

The x-intercept, B, is (7, 0)

Use the distance formula to determine the length of AB.