https://file.aiquickdraw.com/mathbot/file/17275868090613mg4jfqn.jpg

Plug in 0 and 1 for x and solve for y then grapgh

To solve the equation \( y = -6x + 5 \) by plugging in \( x = 0 \) and \( x = 1 \), let's compute the corresponding \( y \)-values:

### Step 1: Plug in \( x = 0 \)
\[
y = -6(0) + 5 = 0 + 5 = 5
\]
So, when \( x = 0 \), \( y = 5 \).

### Step 2: Plug in \( x = 1 \)
\[
y = -6(1) + 5 = -6 + 5 = -1
\]
So, when \( x = 1 \), \( y = -1 \).

### Coordinates for Plotting:
- \( (0, 5) \)
- \( (1, -1) \)

### Step 3: Graphing the Equation
To graph the line, plot the points \( (0, 5) \) and \( (1, -1) \), and draw a straight line through them. The slope is \( -6 \), indicating the line is steep and decreasing.

Would you like a graphical representation of this? 

Let me know if you want further explanation, or if you'd like me to plot this graph for you.

---

**Here are 5 follow-up questions:**
1. What is the slope of the line, and how does it affect the graph?
2. Can you find the \( y \)-intercept from the equation?
3. What would the \( y \)-value be if \( x = 2 \)?
4. How does the negative slope change the direction of the line compared to a positive slope?
5. Could you describe how to graph this line without computing points?

**Tip:** The slope of the line represents how much \( y \) changes for every unit change in \( x \). A steep slope (like \(-6\)) causes a rapid change in \( y \).

Plug in 0 and 1 for x and solve for y then graph

Learn how to solve and graph the linear equation y = -6x + 5 by plugging in values for x and solving for y. This problem covers linear equations and the slope-intercept form, suitable for students in Grades 7-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation