Write an equation of the line that passes through the points. (2, 5), (0, 5)

Question

Write an equation of the line that passes through the points.  (2, 5), (0, 5)

Laith Petty · Accepted Answer

The equation of a line can be written as
$y - y_{1} = m (x - x_{1})$
where $(x_{1}, y_{1})$ is either point that lies upon that line. Let us find the slope, this will become our m.
$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$
Plugging in our two points gets us to:
$m = \frac{5 - 5}{2 - 0} \Rightarrow m = 0$
When we have a slope of 0, it indicates that our line is horizontal. Thus the equation of the line can simply be:
$y = y_{0}$ , and in this case both of our points have a y-coordinate of 5. Thus, our equation is:
$y = 5$

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

madeleinejames20 · Accepted Answer

To determine the slope (m), we can use the formula:m=y2−y1x2−x1Let&#039;s substitute the values of the points into the formula:m=5−50−2Simplifying, we have:m=0−2Since the numerator is zero, the slope is zero. Thus, the equation of the line becomes:y=0x+bTo find the y-intercept (b), we can substitute the coordinates of one of the points into the equation. Let&#039;s use the point (2, 5):5=0(2)+bSimplifying further:5=bHence, the equation of the line passing through the points (2, 5) and (0, 5) is:y=0x+5Simplifying the equation, we get:y=5Therefore, the equation of the line is y=5.

Eliza Beth13 · Accepted Answer

Step 1: To write an equation of the line that passes through the points (2, 5) and (0, 5), we can use the point-slope form of a linear equation, which is given by:

y - y_{1} = m (x - x_{1})

where

(x_{1}, y_{1})

represents one of the given points and

m

represents the slope of the line.
Using the points (2, 5) and (0, 5), we can see that the

y

-coordinates are the same, indicating that the line is a horizontal line. In this case, the slope

m

is 0.
Plugging in the values of

(x_{1}, y_{1}) = (2, 5)

and

m = 0

into the point-slope form, we get:

y - 5 = 0 (x - 2)

Step 2: Simplifying the equation, we have:

y - 5 = 0

Further simplification yields:

y = 5

Therefore, the equation of the line that passes through the points (2, 5) and (0, 5) is

y = 5

.

Mr Solver · Accepted Answer

Answer:y=5Explanation:y=mx+b where m represents the slope of the line and b represents the y-intercept.To find the slope (m), we use the formula:m=y2−y1x2−x1Substituting the values of the given points, we have:m=5−50−2=0−2=0Since the slope is 0, the equation of the line will be of the form:y=bTo find the value of b, we can substitute the coordinates of either of the given points into the equation. Let&#039;s use (2, 5):5=bTherefore, the equation of the line that passes through the points (2, 5) and (0, 5) is:y=5

Write an equation of the line that passes through the points. (2, 5), (0, 5)

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