Find the equation if the line through the intersection of lines `x+2y-3=0 and 4x-y+7=0` and which is parallel to `5x+4y-20=0`
Text Solution
AI Generated Solution
To find the equation of the line that passes through the intersection of the lines \( x + 2y - 3 = 0 \) and \( 4x - y + 7 = 0 \), and is parallel to the line \( 5x + 4y - 20 = 0 \), we can follow these steps:
### Step 1: Find the slope of the line parallel to \( 5x + 4y - 20 = 0 \)
The slope \( m \) of a line in the form \( Ax + By + C = 0 \) can be found using the formula:
\[
m = -\frac{A}{B}
\]
...
Topper's Solved these Questions
STRAIGHT LINES
NCERT|Exercise SOLVED EXAMPLES|28 Videos
STRAIGHT LINES
NCERT|Exercise EXERCISE 10.3|18 Videos
STATISTICS
NCERT|Exercise EXERCISE 15.2|10 Videos
TRIGONOMETRIC FUNCTIONS
NCERT|Exercise EXERCISE 3.1|7 Videos
Similar Questions
Explore conceptually related problems
Find the equation of the line passing through the intersection of the lines x+2y-3=0 and 4x-y+7=0 and which is parallel to 5x+4y-20=0
The equation of the line through the intersection of the lines 2x-3y=0 and 4x-5y=2 and
Find the equation of the line passing through the intersection of the lines : x+2y-3=0 and 4x-y+7=0 and which is parallel to y-x+10=0
Find the equation of the line through the intersection of the lines x-7y+5=0 and 3x+y-7=0 and which is parallel to x-axis.
Find the equation of the line through the intersection of lines 3x+4y=7 and x-y+2=0 and whose slope is 5.
Find the equation of the line through the intersection of lines 3x+4y=7 and x-y+2=0 and whose slope is 5.
Find the equation of the line through the intersection of the lines 3x+y-9=0 and 4x+3y-7=0 and which is perpendicular to the line 5x-4y+1=0.
Find the equation of line through the intersection of lines 3x+4y=7 and x-y+2=0 and whose slope is 5.
Find the equation of the line through the intersection of the lines 2x-3y+1=0 and x+y-2=0 and drawn parallel to y-axis.
Find the equation of the line through the intersection of the lines 2x-3y=0 and 4x-5y=2 and which is perpendicular to the line x+2y+1=0.