Question

Choose all that are TRUE. The slope of the line modeled by 3x − 2y = 6 is 3 2 , and the y-intercept is − 3. The slope of the line modeled by 4y = x is 4. The slope of the line modeled by y = 7 is undefined. The slope of the line modeled by equation x = 8 is undefined. The slope of the line modeled by −2x − 5y = 4 is −2 5 , and the y-intercept is −4 5 .

Answer 1

The slope of the line modeled by 3x − 2y = 6 is 3/2 ------ True

The slope of the line modeled by 4y = x is 4 ---------- False

The slope of the line modeled by y = 7 is undefined -------- False

The slope of the line modeled by equation x = 8 is undefined ------- True

The slope of the line modeled by −2x − 5y = 4 is −2/5 , and the y-intercept is −4/5 --------- True

Explanation:

Answer 2

See below

Explanation:

Lines given

1. ......................................

• 3x − 2y = 6
• 2y = 3x - 6
• y = 3/2x - 3
• Slope = 3/2, y-intercept = -3.
• TRUE

2. ......................................

• 4y = x
• y = 1/4x
• FALSE, it is not 4

3. ......................................

• y = 7
• Slope undefined as horizontal line
• TRUE

4. ......................................

• x = 8
• Slope undefined as vertical line
• TRUE

5. ......................................

• −2x − 5y = 4
• 5y = -2x - 4
• y = -2/5x - 4/5
• Slope = -2/5, y-intercept = -4/5
• TRUE