Question

At what point does the line (3,4) (6,5) cross the X axis?

Answer 1

Crossing point on x-axis is `(-9,0)`

Explanation:

The slope of the line passing through `(3,4) and (6,5)` is

`m= (y_2-y_1)/(x_2-x_1)= (5-4)/(6-3)=1/3`

The equation of line passing through `(3,4)` having slope of

`m=1/3` is `y-y_1=m(x-x_1) or y-4=1/3(x-3)`. or

`3 y -12= x -3 or x- 3 y = -9` Therefore, the equation of

line is `x- 3 y = -9` . When it crosses x-axis the y coordinate

is `0 :. x- 3*0 =-9 or x= -9` Therefore ,crossing point on

x-axis is `(-9,0)`

graph{x - 3 y = -9 [-10, 10, -5, 5]}