Question

What is the slope of the line y=-2x+3? A. 3 B. -2 C. -3 D. 2

Answer 1

The first step that we must take before solving a problem is to understand what the problem statement is asking us to do and what is given to us to do so.  Looking at the problem they are asking what the slope of the line is. What is provided to us is an equation which was captured as $y=-2x + 3$.

The next step that we must take is to determine what the slope of the line is. Let us first define what slope is.

• Slope ⇒ Slope is the rate of change which can be expressed in an equation.  For example, if a student buys 4 books per semester, the rate of change would be 4 as for every semester the student would add another 4 books.

Slope-Intercept form is a form in which an equation can be expressed in and it follows the y = mx + b format.  M is equal to the slope while b displays the y-intercept of the expression.

The easiest way to determine the slope using slope-intercept form us by looking at the coefficient of the variable x (in this case) which is also known as m.  Looking at our equation, we can see that the coefficient in front of the variable x is -2.

Therefore, the option that would best match the details that we provided would be option B, -2.

Answer 2

Answer:

B. -2

General Formulas and Concepts:
Algebra I

Slope-Intercept Form:
$\displaystyle y = mx + b$

• m - slope
• b - y-intercept

Step-by-step explanation:

Step 1: Define

Identify given equation.

$\displaystyle y = -2x + 3$

Step 2: Find Slope m

Let's compare our given equation to the general equation Slope-Intercept Form to identify our values for slope m and y-intercept b:

1. Compare:
   $\displaystyle\begin{aligned}y & = mx + b \\y & = -2x + 3 \\\end{aligned}$

We can see that our y-intercept b is equal to 3 and that our slope m is equal to -2.

∴ the slope of the given line is equal to -2 and the answer choice that correlates with this is answer choice B.

___

Learn more about Slope-Intercept Form: brainly.com/question/24552408

Learn more about Algebra I: brainly.com/question/10664006

___

Topic: Algebra I