Home
Class 11
MATHS
State the equation of the line which has...

State the equation of the line which has the y-intercept
2 and slope 7

Text Solution

AI Generated Solution

The correct Answer is:
To find the equation of the line with a given y-intercept and slope, 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**: - The slope \( m = 7 \) - The y-intercept \( c = 2 \) 2. **Write the slope-intercept form**: - The general form of the equation is \( y = mx + c \). 3. **Substitute the values of \( m \) and \( c \)**: - Replace \( m \) with \( 7 \) and \( c \) with \( 2 \) in the equation. - This gives us: \[ y = 7x + 2 \] 4. **State the final equation**: - The equation of the line is: \[ y = 7x + 2 \] ### Final Answer: The equation of the line is \( y = 7x + 2 \).
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINE

    ICSE|Exercise EXERCISE 16 (c)|19 Videos
  • THE STRAIGHT LINE

    ICSE|Exercise EXERCISE 16 (d)|20 Videos
  • THE STRAIGHT LINE

    ICSE|Exercise EXERCISE 16 (a) |46 Videos
  • STRAIGHT LINES

    ICSE|Exercise Multiple Choice Questions |46 Videos
  • TRIGONOMETRIC FUNCTION

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS |44 Videos

Similar Questions

Explore conceptually related problems

State the equation of the line which has the y-intercept -3 and slope -4

State the equation of the line which has the y-intercept 2 and is inclined at 45^(@) to the x-axis

State the equation of the line which has the y-intercept -1 and is parallel to y=5x+7

State the equation of the line which has the y-intercept -5 and is equally inclined to the axes

State the equation of the line which has the y-intercept equal to 4/(3) and is perpendicular to 3x-4y+11=0

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

Find the equation of the line that has y-intercept -3 and is perpendicular to the line 3x+5y=4 .

Find the equation of the line with slope 3 and y intercept -2 .

Find the equation of the line which cuts off an intercept 7 on y-axis and has the slope 3.

Find the equation of the line which cuts off an intercept -5 on y-axis and has slope 1/2 .

ICSE-THE STRAIGHT LINE -EXERCISE 16 (b)
  1. State the equation of the line which has the y-intercept 2 and slop...

    Text Solution

    |

  2. State the equation of the line which has the y-intercept -3 and slo...

    Text Solution

    |

  3. State the equation of the line which has the y-intercept -1 and is ...

    Text Solution

    |

  4. State the equation of the line which has the y-intercept 2 and is i...

    Text Solution

    |

  5. State the equation of the line which has the y-intercept -5 and is ...

    Text Solution

    |

  6. What will be the value of m and c if the straight line y=mx+c passes t...

    Text Solution

    |

  7. Find the equation of t he straight line through the given point P and ...

    Text Solution

    |

  8. Find the equation of t he straight line through the given point P and ...

    Text Solution

    |

  9. Find the equation of the line through the point (1, -2) making an angl...

    Text Solution

    |

  10. Find the equation to the straight line passing through the origin a...

    Text Solution

    |

  11. Find the equation to the straight line passing through the point (4...

    Text Solution

    |

  12. Find the equation to the straight line passing through the point (4...

    Text Solution

    |

  13. Find the equation to the line which is perpendicular to the line x/(a)...

    Text Solution

    |

  14. Find the equation of the two lines throgh the point (4, 5) which make ...

    Text Solution

    |

  15. The line through A(4, 7) with gradient m meets the x-axis at P and the...

    Text Solution

    |

  16. Write down the slopes of the lines joining P(1, 1) and Q(2, 3)

    Text Solution

    |

  17. Write down the slopes of the lines joining L(-p, q) and M(r, s)

    Text Solution

    |

  18. Write down the slopes of the lines parallel to the line joining A(-1,...

    Text Solution

    |

  19. Write down the slope of the line perpendicular to the line joining ...

    Text Solution

    |

  20. Find the equations of the lines joining the points (i) A(1, 1) and ...

    Text Solution

    |