Advertisements
Advertisements
प्रश्न
Find the equation of a line parallel to 2y = 6x + 7 and passing through (–1, 1).
उत्तर
Given the equation of a line,
2y = 6x + 7
Or y = `3x + 7/2`
Here, m = 3
The equation of a line with slope, m = 3 and passing through (–1, 1) is:
(y – y1) = m(x – x1)
`\implies` (y – 1) = m(x + 1)
`\implies` y – 1 = 3x + 3
`\implies` y = 3x + 3 + 1
`\implies` y = 3x + 4, is the required equation
APPEARS IN
संबंधित प्रश्न
If the straight lines 3x – 5y = 7 and 4x + ay + 9 = 0 are perpendicular to one another, find the value of a.
Find, which of the following points lie on the line x – 2y + 5 = 0 :
(0, 5)
Find the equation of the line passing through : (−1, −4) and (3, 0)
A(1, 4), B(3, 2) and C(7, 5) are vertices of a triangle ABC. Find the equation of a line, through the centroid and parallel to AB.
The equation of a line is 3x + 4y – 7 = 0. Find:
- the slope of the line.
- the equation of a line perpendicular to the given line and passing through the intersection of the lines x – y + 2 = 0 and 3x + y – 10 = 0.
The line y = 6- `(3"x")/2` passes through the point (r,3). Find the value of r.
L is a point on the line segment PQ dividing it in the ratio 1 : 3. If the coordinates of P and Q are (3, 7) and ( 11,-5) respectively, find if L lies on the line 2x + 5y = 20.
Find the equation of a line passing through (2,5) and making and angle of 30° with the positive direction of the x-axis.
Find the equation of a line with slope 1 and cutting off an intercept of 5 units on Y-axis.
Find the equation of the line passing through (0, 4) and parallel to the line 3x + 5y + 15 = 0.
