The equation of a line L is y= -3x - 1/4. Find the coordinates of the point of intersection of L with the x-axis.
We have to find the point of intersection of the line L which has an equation y= -3x - 1/4 with the x-axis.
On the x-axis the y coordinate is 0
Solving 0 = -3x - 1/4
=> 3x = -1/4
=> x = -1/12
The required point at which the line intersects the x-axis is (-1/12, 0)
The co-ordinate of y is always 0 at the point of intersection with any line with x-axis.
The x-axis and y-axis are perpendicular to each other and meet at point (0,0) which makes the equation of line for x-axis as y=0 and equation of line for y-axis as x=0.
we wish to find the point of intersection of 2 lines:-
1) Line L : y=-3x-1/4 &
2) X axis : y=0
To find the point of intersection, let us put the value of equation 2 in equation 1,
Now we have the value of both x and y at the point of intersection
The co-ordinates of point of intersection of line L with x-axis is (-1/12,0)
Feel free to ask if you any doubt in explanation.