StudyGPT Just Leveled Up – Say Hello to Knowee! 🚀
Knowee
Questions
Features
Study Tools

What is the slope of the line given by the equation below?y + 2 = -3(x - 5)A.-3B.-5C.3D.2

Question

What is the slope of the line given by the equation below?

y+2=3(x5) y + 2 = -3(x - 5)

A. -3
B. -5
C. 3
D. 2

🧐 Not the exact question you are looking for?Go ask a question

Solution

1. Break Down the Problem

We need to find the slope of the line given by the equation y+2=3(x5) y + 2 = -3(x - 5) . The first step is to rearrange this equation into the slope-intercept form y=mx+b y = mx + b , where m m represents the slope.

2. Relevant Concepts

The slope-intercept form of a linear equation is given by: y=mx+b y = mx + b where m m is the slope.

3. Analysis and Detail

Let's manipulate the equation: y+2=3(x5) y + 2 = -3(x - 5) Distributing on the right side: y+2=3x+15 y + 2 = -3x + 15 Now, isolate y y : y=3x+152 y = -3x + 15 - 2 y=3x+13 y = -3x + 13 From this form, we can see that the slope m m is 3 -3 .

4. Verify and Summarize

Checking the slope from the equation: it is consistent with the manipulation steps completed. Thus, the slope of the line is confirmed.

Final Answer

The slope of the line is 3-3, so the correct answer is A. -3.

This problem has been solved

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.