A line is shown on the coordinate plane.
(2,5) and (9,5)
Drag a number to each box to represent the equation of the line.
The equation of the line is: y = 5
To find the equation of the line passing through the points (2,5) and (9,5) on the coordinate plane, we need to determine the slope and the y-intercept of the line.
First, let's find the slope:
The formula to find the slope (m) between two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
Using the given points:
m = (5 - 5) / (9 - 2)
m = 0 / 7
m = 0
Since the numerator is 0, the slope of the line is 0.
Now, let's find the y-intercept:
The y-intercept represents the point where the line crosses the y-axis, and its x-coordinate is 0.
Using the slope-intercept form of a line (y = mx + b), we can substitute the values we now have:
y = 0x + b
y = b
Since the line is horizontal, it is parallel to the x-axis, and the y-coordinate does not change. Therefore, the y-intercept is 5.
Putting it all together, the equation of the line passing through the points (2,5) and (9,5) is:
y = 0x + 5
Simplifying further:
y = 5
So, the equation of the line is y = 5.
To find the equation of the line, we can use the slope-intercept form, which is given by:
y = mx + b
Where m represents the slope of the line, and b represents the y-intercept.
To find the slope of the line, we use the formula:
m = (y2 - y1) / (x2 - x1)
Given that the line passes through the points (2, 5) and (9, 5), the coordinates of the points will be:
x1 = 2, y1 = 5
x2 = 9, y2 = 5
Substituting these values into the slope formula, we get:
m = (5 - 5) / (9 - 2)
m = 0 / 7
m = 0
Since the slope of the line is 0, the equation of the line will be in the form y = b, where b represents the y-intercept.
We can determine the value of b by substituting the coordinates of one of the points into the equation. Let's choose (2, 5):
y = b
5 = b
Therefore, the equation of the line is:
y = 5
Dragging the number 5 to the box would represent the equation of the line.