https://file.aiquickdraw.com/mathbot/file/17270450961756jsedfn1.jpg

To solve **Step 2 of 3**, we need to express the second equation in slope-intercept form, which is typically written as:

\[
y = mx + b
\]

where \( m \) is the slope, and \( b \) is the y-intercept.

The second equation given is:

\[
2y + 5 = 8 + 7x
\]

### Steps:

1. **Isolate \( y \)**:
   \[
   2y + 5 = 8 + 7x
   \]
   Subtract 5 from both sides:
   \[
   2y = 7x + 3
   \]

2. **Solve for \( y \)**:
   Divide everything by 2 to isolate \( y \):
   \[
   y = \frac{7x + 3}{2}
   \]
   This simplifies to:
   \[
   y = \frac{7}{2}x + \frac{3}{2}
   \]

Now, the equation is in slope-intercept form, where the slope \( m = \frac{7}{2} \), and the y-intercept \( b = \frac{3}{2} \).

Would you like more details or have any questions? Here are five related questions to deepen understanding:

1. How do you find the slope of a line given two points?
2. What is the general form of a linear equation?
3. How do you convert from standard form to slope-intercept form?
4. How do you interpret the slope in real-world scenarios?
5. What is the difference between slope-intercept form and point-slope form?

**Tip**: When isolating variables, always perform the same operation on both sides of the equation to maintain equality.

Express the second equation 2y + 5 = 8 + 7x in slope-intercept form.

Learn how to convert the equation 2y + 5 = 8 + 7x to slope-intercept form. This algebra problem involves isolating y to express the equation in the form y = mx + b, with m as the slope and b as the y-intercept. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation