Home
Class 9
MATHS
Find the equation of the line, whose: ...

Find the equation of the line, whose:
Slope =-4 and y intercept =2

Text Solution

AI Generated Solution

The correct Answer is:
To find the equation of a line given the slope and y-intercept, we can use the slope-intercept form of a linear equation, which is: \[ y = mx + c \] where: - \( m \) is the slope of the line, - \( c \) is the y-intercept. ### Step-by-Step Solution: 1. **Identify the given values**: - Slope \( m = -4 \) - Y-intercept \( c = 2 \) 2. **Substitute the values into the slope-intercept form**: - Replace \( m \) with \(-4\) and \( c \) with \(2\) in the equation \( y = mx + c \). - This gives us: \[ y = -4x + 2 \] 3. **Write the final equation**: - The equation of the line is: \[ y = -4x + 2 \] ### Final Answer: The equation of the line is \( y = -4x + 2 \). ---
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the equation of the line, whose: Slope =5 and y intercept =-8

Find the equation of the line, whose: Slope =0 and y intercept =-5

Find the equation of the line whose: slope =-3 and y-intercept =-1

Find the equation of the line whose: slope =0 and y-intercept =0

Find the equations of the lines , whose : slope =- 4 and y- intercepts = 2

Find the equation of the line whose: slope =2 and y-intercept=3

Find the equations of the lines , whose : slope = 3 and y- intercept =4

Find the equations of the lines , whose : slope = 0 and y- intercept =- 5

Find the equation of a line whose (i) Slope =-1 and Y- intercept =3 . (ii) Slope =(2)/(5) and Y- intercept =-2 . (iii) Slope =(1)/(3) and Y- intercept =(2)/(3) .

Find the equations of the lines , whose : slope = 1 and y - intercepts =-5