The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Step-by-step explanation:
The parallel lines have:
- Same slopes
- Different y-intercepts
The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept
∵ The equation of the given line is y = 5x + 4
∴ m = 5 and b = 4
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line = 5
- Substitute the value of the slope in the form of the equation
∴ y = 5x + b
- To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The parallel line passes through point (-1 , 2)
∴ x = -1 and y = 2
∵ 2 = 5(-1) + b
∴ 2 = -5 + b
- Add 5 to both sides
∴ 7 = b
- Substitute the value of b in the equation
∴ y = 5x + 7
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Learn more:
You can learn more about the equations of the parallel lines in brainly.com/question/9527422
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Answer:
As far as i can tell it would just be y+2?
As I understand, we need to evaluate the given rational expression, we will get that the evaluated expression is equal to - 1/10
<h3>
Evaluating expressions:</h3>
Evaluating an expression just means that we need to replace the variable in the expression for a given value, here we have the expression:

And we want to evaluate it in:

So we just need to replace k by that value in the above expression, we will get:

Now we can just solve this:

If you want to learn more about evaluating expressions, you can read:
brainly.com/question/4344214
Answer:
Step-by-step explanation:
Answer: This is a type of Synthesis reaction.
Explanation:
- Synthesis reaction is a type of chemical reaction in which two or more substances combine to form a single substance.

- Decomposition reactions are a type of chemical reactions in which a substance breaks down into two or more substances.

- Combustion reaction is a type of chemical reaction in which a hydrocarbon reacts with oxygen gas to produce carbon dioxide and water.

For the given reaction:

Here, 2 substances are combining together to form a single substance. Hence, it is considered as a synthesis reaction.