There are certain questions related with the topic straight line where students get homework. These questions are regularly asked from the students and they get stuck in them and try to ask from online tutoring. As an online tutor many questions are regularly asked which I will discuss right now. Lets have two known principle we should know.
If the straight line cuts x – axis at A and y- axis at B, then OA and OB are known as intercepts of the line an x axis and y axis respectively.
The equation of a line parallel to x axis at a distance b from it is y = b
Lets have questions related to this
Question: Determine the equation of line through point (-4, -3) and parallel to x axis
Solution: here it is given that slope which is m is zero. And value of x1 = -4 and y1 = -3
Now to find the equation of the line we should know the standard form
Which is y – y1 = m (x – x1) by putting the above values
This implies y +3 = 0(x + 4)
Y + 3 = 0
Question: Find the equation of the line for which tan θ = ½, where θ is the inclination of the line and x – intercept equal to 4.
Solution: here m= ½
So equation of the line is
Y – 0 = ½(x – 4) here line passes through (4 , 0)
After solving the equation we get
X – 2y – 4 = 0