Question

How do you graph x - y < 4

Answer 1

Answer: y > -4 + x

Step-by-step explanation: graph the inequality by finding the boundary line

Answer 2

Answer:

y > -4 + x

***(see graph below)****

Step-by-step explanation:

Graph

x − y < 4

Solve for y

Subtract x from both sides of the inequality.

−y < 4 − x

Multiply each term in −y < 4 − x by −1

Multiply each term in −y < 4 − x by −1. When multiplying or dividing both sides of an

  inequality by a negative value, f lip the direction of the inequality sign.

  (−y) ⋅ −1 > 4 ⋅ −1 + (−x) ⋅ −1

     Multiply (−y) ⋅ −1.

     Multiply −1 by −1.

     1y > 4 ⋅ −1 + (−x) ⋅ −1

     Multiply y by 1.

     y > 4 ⋅ −1 + (−x) ⋅ −1

Simplify each term.

     Multiply 4 by −1.

      y > −4 + (−x) ⋅ −1

     Multiply (−x) ⋅ −1.

y > −4 + x

   Find the slope and the y-intercept for the boundary line.

Rewrite in s lope-intercept form.

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

y = mx + b

Reorder −4 and x. y > x − 4

Use the slope-intercept form to find the slope and y-intercept.

Find the values of m and b using the form y = mx + b. m = 1

b = −4

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: 1

intercept: (0, −4)

Graph a dashed line, then shade the area above the boundary line since y is greater than −4 + x. y > −4 + x