Answer:
The graph of 
is also attached below, which indicates that there is a change of only one unit on the y-axis for every two units of x-values.
Step-by-step explanation:
When there is a change in x values, it is basically a horizontal change. horizontal change between two values is also called the run.
And the vertically change between two values is also called the rise.
The slope is basically the ratio of the vertical (rise) and horizontal (run) changes between two points on a line.
For example, consider the equation
Here fore every two units of x-values, one units are moved on the y-axis.
In other words, there is a change of only one unit on the y-axis for every two units of x-values.
The graph of is also attached below which is showing this.
Answer:
see explanation
Step-by-step explanation:
Given
4
- 5a² + 1 = 0
Use the substitution u = a², then equation is
4u² - 5u + 1 = 0
Consider the product of the coefficient of the u² term and the constant term
product = 4 × 1 = 4 and sum = - 5
The factors are - 4 and - 1
Use these factors to split the u- term
4u² - 4u - u + 1 = 0 ( factor the first/second and third/fourth terms )
4u(u - 1) - 1(u - 1) = 0 ← factor out (u - 1) from each term
(u - 1)(4u - 1) = 0
Equate each factor to zero and solve for u
u - 1 = 0 ⇒ u = 1
4u - 1 = 0 ⇒ 4u = 1 ⇒ u = 
Convert u back into terms of a, that is
a² = 1 ⇒ a = ± 1
a² = ⇒ a = ± 
Solutions are a = ± 1 , a = ±
Answer:
39/4
Step-by-step explanation:
Step 1 - Setup
First, we set up the mixed number 9 3/4 with different colors, so it is easy to follow along:
9
3
4
Step 2 - Multiply
Next, we multiply the whole number by the denominator.
9 x 4 = 36
Step 3 - Add Numerator
Then, we add the numerator to the answer we got in Step 2.
36 + 3 = 39
Step 4 - Solution
Finally, to get the solution, we keep the original denominator and make the numerator the answer from Step 3. Thus, 9 3/4 as an improper fraction is:
39
4
Answer: y = (3/2)x
m = 3/2 is the slope
(x1,y1) = (0,0) is the point we want the line to go through, aka the origin
Use point slope form, plug in the given values, and convert to slope intercept form
y - y1 = m(x - x1) .... point slope form
y - 0 = (3/2)*(x - 0) .... substitution
y = (3/2)x .... final answer in slope intercept form
