Question

which expression represents the situation: subtract 4.2 from -7.6?
-7.6 + 4.2
7.6 - 4.2
-7.6 - 4.2
4.2 - 7.6
2 fill in the blank 2 points
what is the slope and y-intercept of th equatio?
y = -4x + 7
m = type your answer...
y-intercept type your answer...

Explanation:

Sub - Question 1 (Multiple Choice)

Step 1: Understand the operation

To subtract 4.2 from - 7.6, we start with - 7.6 and take away 4.2. Mathematically, this is written as \(-7.6-4.2\). Let's analyze each option:

• Option 1: \(-7.6 + 4.2\) represents adding 4.2 to - 7.6, not subtracting 4.2 from - 7.6.
• Option 2: \(7.6-4.2\) starts with 7.6, which is not the number we are supposed to start with (we should start with - 7.6).
• Option 3: \(-7.6-4.2\) is the correct representation of subtracting 4.2 from - 7.6.
• Option 4: \(4.2 - 7.6\) represents subtracting 7.6 from 4.2, which is the opposite of what we need.

Step 1: Recall the slope - intercept form

The slope - intercept form of a linear equation is \(y=mx + b\), where \(m\) is the slope and \(b\) is the y - intercept.

Step 2: Identify \(m\) and \(b\) from the given equation

For the equation \(y=-4x + 7\), comparing it with \(y = mx + b\), we can see that \(m=-4\) and the y - intercept \(b = 7\).

Answer:

C. \(-7.6 - 4.2\)

Sub - Question 2 (Fill in the Blank)