Identify the slope and y intercept in      y=4/5 x - 9.

Question 1 options:

m= 4/5     b= -9


m= 4/5     b=9


m= 9     b= 4/5


m= -9     b= 4/5

Question 2 (3 points) 
Find the slope.    (4,10) (7, 18)

Question 2 options:

3/8


8/3


28/11


11/7

Question 3 (3 points) 
Find the x intercept in the following:  2x + 4y = 28

Question 3 options:

(0, 7)


(2, 4)


(0, 14)


(14, 0) 

Question 4 (3 points) 
Is the ordered pair (3, 5) a solution for:   3x + 6= y?

Question 4 options:
	True
	False
Question 5 (3 points) 
Identify the slope and y-intercept.      y= 4- 2/5x

Question 5 options:

m= 2/5      b= -4


m= -4       b= -2/5


m= -2/5     b=4


m= 4         b= -2/5



Let's go through each question step by step.

### Question 1: Identify the slope and y-intercept in \( y = \frac{4}{5}x - 9 \).

In the equation \( y = mx + b \):
- \( m \) (slope) = \( \frac{4}{5} \)
- \( b \) (y-intercept) = -9

**Answer**: **m = \(\frac{4}{5}\), b = -9** (First option).

### Question 2: Find the slope between points (4, 10) and (7, 18).

The slope \( m \) is calculated using the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{18 - 10}{7 - 4} = \frac{8}{3}
\]

**Answer**: **\(\frac{8}{3}\)** (Second option).

### Question 3: Find the x-intercept of \( 2x + 4y = 28 \).

To find the x-intercept, set \( y = 0 \):
\[
2x + 4(0) = 28 \implies 2x = 28 \implies x = 14
\]
Thus, the x-intercept is \( (14, 0) \).

**Answer**: **(14, 0)** (Fourth option).

### Question 4: Is the ordered pair (3, 5) a solution for \( 3x + 6 = y \)?

Substituting \( x = 3 \):
\[
3(3) + 6 = 9 + 6 = 15 \quad \text{and} \quad y = 5
\]
Since \( 15 \neq 5 \), the ordered pair is not a solution.

**Answer**: **False**.

### Question 5: Identify the slope and y-intercept in \( y = 4 - \frac{2}{5}x \).

Rewriting it in slope-intercept form \( y = mx + b \):
\[
y = -\frac{2}{5}x + 4
\]
Thus, \( m = -\frac{2}{5} \) and \( b = 4 \).

**Answer**: **m = -\(\frac{2}{5}\), b = 4** (Third option).

---

### Summary of Answers:
1. m = \(\frac{4}{5}\), b = -9
2. \(\frac{8}{3}\)
3. (14, 0)
4. False
5. m = -\(\frac{2}{5}\), b = 4

Do you want details or have any questions? Here are some related questions for further exploration:

1. How would you graph the equation \( y = \frac{4}{5}x - 9 \)?
2. What is the significance of the slope in a linear equation?
3. How can you find the y-intercept from a standard form equation?
4. What do the coordinates of an x-intercept represent?
5. How can you determine if a point is a solution for any linear equation? 

**Tip**: Always write equations in slope-intercept form to easily identify slope and y-intercept.

Identify the slope and y intercept in y=4/5 x - 9. Find the slope. (4,10) (7, 18). Find the x intercept in the following: 2x + 4y = 28. Is the ordered pair (3, 5) a solution for: 3x + 6= y? Identify the slope and y-intercept. y= 4- 2/5x.

Explore how to identify the slope and y-intercept in linear equations, find the slope between points, determine x-intercepts, and check if ordered pairs are solutions. This comprehensive guide is suitable for students in Grades 7-9.

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