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

Question

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## Answers ( No )

## 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

)

Answer: it’s 4/3

Step-by-step explanation: