Advertisements
Advertisements
प्रश्न
The equation of a line is x – y = 4. Find its slope and y-intercept. Also, find its inclination.
उत्तर
Given equation of a line is x − y = 4
`=>` y = x − 4
Comparing this equation with y = mx + c, we have:
Slope = m = 1
y-intercept = c = −4
Let the inclination be θ.
Slope = 1 = tan θ = tan 45°
∴ θ = 45°
APPEARS IN
संबंधित प्रश्न
Write the equation of each of the following lines:
- The x-axis and the y-axis.
- The line passing through the origin and the point (-3, 5).
- The line passing through the point (-3, 4) and parallel to X-axis.
Is the line 3x + 4y + 7 = 0 perpendicular to the line 28x – 21y + 50 = 0?
A = (7, −2) and C = (−1, −6) are the vertices of square ABCD. Find the equations of diagonals AC and BD.
The line 4x − 3y + 12 = 0 meets x-axis at A. Write the co-ordinates of A. Determine the equation of the line through A and perpendicular to 4x – 3y + 12 = 0.
The point P is the foot of perpendicular from A(−5, 7) to the line whose equation is 2x – 3y + 18 = 0. Determine :
- the equation of the line AP.
- the co-ordinates of P.
Find the equation of the line which is perpendicular to the line `x/a - y/b = 1` at the point where this line meets y-axis.
A (5, 4), B (–3,–2) and C (1,–8) are the vertices of a triangle ABC. Find the equation of median AD and line parallel to AB passing through point C.
Show that points P(2, –2), Q(7, 3), R(11, –1) and S (6, –6) are vertices of a parallelogram.
Prove that :
“If a line parallel to a side of a triangle intersects the remaining sides in two distince points, then the line divides the sides in the same proportion.”
Find the equation of line through the intersection of lines 2x – y = 1 and 3x + 2y = –9 and making an angle of 30° with positive direction of x-axis.