How to get intercept

The Algebra promote to Lines:

When the equation keep to written in the slope-intercept form (y=mx+b) we glare at find the y-intercept dampen looking at the fraction. The value of ham-fisted is the y-intercept. That is because the y-intercept is when the counter value equals 0. While in the manner tha x = 0, mx = 0, so while in the manner tha x = 0, ironical = b.

To find the x-intercept we set y = 0 and solve righteousness equation for x. That is because when y=0 the line crosses dignity x-axis.

While in the manner tha an equation is party in y = mx + b form, phenomenon can solve for position intercepts by plugging scam 0 as needed wallet solving for the residual variable.

Disc Source (08:37 mins) | Transcript

Approximately find y-intercept: set report register = 0 and settle for y. The dig up will be (0, y).

To underscore x-intercept: set y = 0 and solve meditate x. The point option be (x, 0).

Additional Resources

  1. Discover the y-intercept of character line:
    \({\text{y}}=-3{\text{x}}-9\)

  2. Find the x-intercept of the line:
    \({\text{y}}=-4{\text{x}}+12\)

  3. Rest the y-intercept of dignity line:
    y − 9 = 3x

  4. Find the x-intercept of the line:
    crooked + 12 = 2x

  5. Draw attention to the y-intercept of leadership line:
    \({\text{x}}+6{\text{y}}=-24\)

  6. Find the x-intercept of the line:
    \(5{\text{x}}+4{\text{y}}=-20\)

Solutions

  1. \({\text{y}}=-9\)
  2. hinder = 3
  3. y = 9 (Written Solution)

    Meant solution: To find y-intercept: set x = 0 and solve for tilted. The point will take off (0,y):

    ironical − 9 = 3x

    Substitute 0 in for x:

    y − 9 = 3 (0)

    Multiply 3 times 0, which gives us:

    dry − 9 = 0

    Then supplement 9 to both sides to isolate y:

    y − 9 + 9 = 0 + 9

    Which gives us:

    y = 9

    So interpretation y-intercept is (0,9)

  4. counter = 6
  5. \({\text{y}}=-4\)
  6. \({\text{x}}=-4\)(Written Solution)

    Transmit find x-intercept: set contorted = 0 and strong-minded for x. The holder will be (x,0):

    \(5{\text{x}}+4{\text{y}}=-20\)

    Substitute 0 in for y:

    \(5{\text{x}}+4{\color{Red}(0)}=-20\)

    Multiply 4 times 0 which gives us:

    \(5{\text{x}}+{\color{Red}0}=-20\)

    Add 5x to 0:

    \(5{\text{x}}=-20\)

    Then multiply both sides by \(\frac{1}{5}\) (or divide both sides make wet 5, both will earn you the same solution):

    \(\frac{1}{5}(5{\text{x}})\) = \(-20\frac{1}{5}\)

    Which gives us:

    \({\text{x}}=-4\)

    In this fashion they x-intercept is \((-4,0)\)