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3 years ago

12

Explain how to check if a point is a solution to a two-variable equation algebraically

1 answer:

nignag [31]3 years ago

3 0

Answer: If you are given ordered pairs and asked if they are solutions to the equation, substitute the values in for X and Y. See if the 2 sides equal. If they do equal, then that ordered pair is a solution. If they don't equal, then the ordered pair is not a solution.

Step-by-step explanation:

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Read 2 more answers

Which of the following line passes through point (-4,5) and is parallel to the line segment whose endpoints are at (-2,-3) and (

NNADVOKAT [17]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

Then, the requested line will have a slope equal to:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5 - (- 3)} {2 - (- 2)} = \frac {5 +3} {2 + 2} = \frac {8} {4} = 2$

Thus, the line is of the form:

$y = 2x + b$

We substitute point $(-4,5)$ and find "b":

$5 = 2 (-4) + b\\5 = -8 + b\\5 + 8 = b\\b = 13$

Finally, the equation is:

$y = 2x + 13$

Answer:

$y = 2x + 13$

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3 years ago