Determine the intercept of the line 4x -1 = 3y + 5.

Question

Determine the intercept of the line 4x -1 = 3y + 5.

0

Answers ( No )

    0
    2021-09-08T22:08:18+00:00

    4x – 1 = 3y + 5

    slope: 4/3

    y-intercept: -2

    To find the x-intercept, substitute in  0  for  y  and solve for  x
    .

    4
    x
    −1
    =
    3
    (
    0
    )
    +
    5

    Solve the equation.  

    x
    =
    3
    /2

    To find the y-intercept, substitute in  0  for  x
    and solve for  y
    .

    4
    (0
    )

    1
    =
    3
    y
    +
    5

    Solve the equation.

    Rewrite the equation as  3
    y
    +
    5
    =
    4(
    0
    )

    1
    .

    3
    y
    +
    5
    =
    4
    (
    0
    )

    1

    Simplify the right side.

    Multiply  4  by  0
    .

    3
    y
    +
    5
    =
    0

    1  

    Subtract  1  from  0
    .

    3
    y
    +
    5
    =

    1.

    Move all terms not containing  y  to the right side of the equation.

    Subtract  5  from both sides of the equation.

    3
    y
    =

    5

    1  

    Subtract  1  from  −
    5
    .

    3
    y
    =

    6

    Divide each term by  3  and simplify.

    Divide each term in  3
    y
    =

    6  by  3
    .

    3
    y
    /3
    =

    6
    /3

    Reduce the expression by cancelling the common factors.

    y
    =

    6
    /3

    Simplify the right side of the equation.

    y
    =

    2

    These are the  x  and  y  intercepts of the equation  4
    x

    1
    =
    3
    y
    +
    5
    .

    x-intercept:  (
    3/
    2
    ,
    0
    )

    y-intercept:  (
    0
    ,

    2
    )

    0
    2021-09-08T22:08:22+00:00

    Answer: it’s 4/3

    Step-by-step explanation:

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