Explore BrainMass

Explore BrainMass

    Linear Equations

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Determine if the given ordered pair is a solution to the equation:

    4. -3x + y = -2 (0,2)

    6. 2x - y = -3 (-2, -1)

    Find the specified values:

    8. 6x - 3y = 12 x-intercept & y-intercept

    10. 4x - 2y = 6 slope & y-intercept

    Re-write the equations in the specified form:

    12. y = 2x -3 write in standard form (Ax + By = C)

    Derive the slope - intercept equations:

    14. Slope = -3, passing through point (-2,3)

    16. Passing through points (3, -4) & (-2, -1)

    © BrainMass Inc. brainmass.com December 24, 2021, 6:58 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/linear-equations-153546

    Attachments

    SOLUTION This solution is FREE courtesy of BrainMass!

    Please see the attached file for the complete solution.
    Thanks for using BrainMass.

    Determine if the given ordered pair is a solution to the equation:

    4. -3x + y = -2 (0,2)

    No, as -3*0 + 2 =2.

    6. 2x - y = -3 (-2, -1)

    Yes, as 2*(-2) -(-1)=-4+1=-3.

    Find the specified values:

    8. 6x - 3y = 12 x-intercept & y-intercept

    To get y-intercept, we let x=0. From 6x - 3y = 12, we have
    6*0 - 3y = 12
    So,
    -3y=12
    So, y=-4. Hence, the y-intercept is (0, -4).

    To get x-intercept, we let y=0. From 6x - 3y = 12, we have
    6x - 3*0 = 12
    So,
    6x=12
    So, x=2. Hence, the x-intercept is (2, 0).

    10. 4x - 2y = 6 slope & y-intercept

    To get y-intercept, we let x=0. From 4x - 2y = 6, we have
    4*0 - 2y = 6
    So,
    -2y=6
    So, y=-3. Hence, the y-intercept is (0, -3).

    To get the slope, we can write 4x - 2y = 6 as

    2y =4x- 6
    So,
    y=2x-3
    So, the slope is equal to 2.

    Re-write the equations in the specified form:

    12. y = 2x -3 write in standard form (Ax + By = C)

    If we move 2x from the right hand side to the left hand side, then we get

    y - 2x = -3
    i.e.,
    -2x+y=-3

    Derive the slope - intercept equations:

    14. Slope = -3, passing through point (-2,3)

    Using a formula, we know the equation is
    y-3=-3[x-(-2)]
    i.e.,
    y-3=-3x-6
    so,
    y= -3x-3

    16. Passing through points (3, -4) & (-2, -1)

    The slope is

    Using a formula, we know the equation is
    y-(-4)=(-3/5)[x-3]
    i.e.,
    y+4=(-3/5)x+9/5
    so,
    y=(-3/5)x -11/5

    i.e.,

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 6:58 pm ad1c9bdddf>
    https://brainmass.com/math/linear-algebra/linear-equations-153546

    Attachments

    ADVERTISEMENT