Question 1 (1 point)

Let's solve each question step by step.

Question 1

Rewrite the equation \(-4x + y = 5\) in slope-intercept form (\(y = mx + b\)):

1. Add \(4x\) to both sides: \[ y = 4x + 5 \]

Now the equation is in slope-intercept form, where \(m\) (the slope) is \(4\).

Answer: m = 4

Question 2

Rewrite the equation \(6x - 2y = -14\) in slope-intercept form:

1. Subtract \(6x\) from both sides: \[ -2y = -6x - 14 \]

2. Divide every term by \(-2\): \[ y = 3x + 7 \]

Now, the equation is in slope-intercept form, where \(m\) (the slope) is \(3\).

Answer: m = 3

Question 3

Rewrite the equation \(x + y = -2\) in slope-intercept form:

1. Subtract \(x\) from both sides: \[ y = -x - 2 \]

In this form, the y-intercept (\(b\)) is \(-2\).

Answer: -2

Summary of Answers:

1. m = 4
2. m = 3
3. -2