Each equation represents a linear relationship. Examine each and determine the slope and y- intercept
1 answer:
Answer:
Slope is -3/7. Y intercept is 250/7.
Step-by-step explanation:
Since they asking for the slope and y intercept, let put it in slope intercept form.
where m is the slope and b is the y intercept.
The equation given is in standard form so we will convert it to slope intercept.
The slope is -3/7
The y intercept is 250/7
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Answer...
Steps....
1) Rewrite the decimal number as a fraction with 1 in the denominator
2) Multiply to remove 4 decimal places. Here, you multiply top and bottom by = 10000
3) Find the Greatest Common Factor (GCF) of 2800575 and 10000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25
4) Simplify the improper fraction!
The equality used is Subtraction property of equality
Option A is correct
Step-by-step explanation:
We need to identify which option best explains or justifies Step 1.
Step 1 is:
The given equation is:
To get the equation for step 1 we need to subtract c on both sides of equation i.e using subtraction property of equality
So, The equality used is Subtraction property of equality
Option A is correct.
Keywords: Solving Quadratic Equations
Learn more about Solving Quadratic Equations at:
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The slope and intercept form is the form of the straight line equation that includes the value of the slope of the line
- Neither
- ║
- Neither
- ⊥
- ║
- Neither
- Neither
- Neither
Reason:
The slope and intercept form is the form y = m·x + c
Where;
m = The slope
Two equations are parallel if their slopes are equal
Two equations are perpendicular if the relationship between their slopes, m₁, and m₂ are;
1. The given equations are in the slope and intercept form
The slope, m₁ = 3
The slope, m₂ =
Therefore, the equations are <u>neither</u> parallel or perpendicular
- Neither
2. y = 5·x - 3
10·x - 2·y = 7
The second equation can be rewritten in the slope and intercept form as follows;
Therefore, the two equations are <u>parallel</u>
- ║
3. The given equations are;
-2·x - 4·y = -8
-2·x + 4·y = -8
The given equations in slope and intercept form are;
Slope, m₁ =
Slope, m₂ =
The slopes
Therefore, m₁ ≠ m₂
The lines are <u>Neither</u> parallel nor perpendicular
- <u>Neither</u>
4. The given equations are;
2·y - x = 2
m₁ =
y = -2·x + 4
m₂ = -2
Therefore;
Therefore, the lines are <u>perpendicular</u>
- ⊥
5. The given equations are;
4·y = 3·x + 12
-3·x + 4·y = 2
Which gives;
First equation,
Second equation,
Therefore, m₁ = m₂, the lines are <u>parallel</u>
- ║
6. The given equations are;
8·x - 4·y = 16
Which gives; y = 2·x - 4
5·y - 10 = 3, therefore, y =
Therefore, the two equations are <u>neither</u> parallel nor perpendicular
- <u>Neither</u>
7. The equations are;
2·x + 6·y = -3
Which gives
12·y = 4·x + 20
Which gives
m₁ ≠ m₂
- <u>Neither</u>
8. 2·x - 5·y = -3
Which gives;
5·x + 27 = 6
- Therefore, the slopes are not equal, or perpendicular, the correct option is <u>Neither</u>
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