To find the slope (m) of a line, you can use the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (5,2) and (8,4), you can plug in the values into the formula:
m = (4 - 2) / (8 - 5)
Simplifying the numerator and denominator:
m = 2 / 3
Therefore, the slope of the line passing through the points (5,2) and (8,4) is 2/3.
Fond the slope (5,2) (8,4)
m=?
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Show work
Sure! Here is the detailed step-by-step work:
Given points: (5,2) and (8,4)
Step 1: Identify the coordinates of the two points.
Point 1: (x1, y1) = (5, 2)
Point 2: (x2, y2) = (8, 4)
Step 2: Plug the values into the slope formula.
m = (y2 - y1) / (x2 - x1)
= (4 - 2) / (8 - 5)
= 2 / 3
Step 3: Simplify the fraction (if possible).
The fraction 2/3 cannot be simplified any further.
Therefore, the slope (m) of the line passing through the points (5,2) and (8,4) is 2/3.
Given points: (5,2) and (8,4)
Step 1: Identify the coordinates of the two points.
Point 1: (x1, y1) = (5, 2)
Point 2: (x2, y2) = (8, 4)
Step 2: Plug the values into the slope formula.
m = (y2 - y1) / (x2 - x1)
= (4 - 2) / (8 - 5)
= 2 / 3
Step 3: Simplify the fraction (if possible).
The fraction 2/3 cannot be simplified any further.
Therefore, the slope (m) of the line passing through the points (5,2) and (8,4) is 2/3.
Find the slope (4,5) (8,2)
To find the slope (m) of a line, you can use the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (4,5) and (8,2), you can plug in the values into the formula:
m = (2 - 5) / (8 - 4)
Simplifying the numerator and denominator:
m = -3 / 4
Therefore, the slope of the line passing through the points (4,5) and (8,2) is -3/4.
m = (y2 - y1) / (x2 - x1)
Given the points (4,5) and (8,2), you can plug in the values into the formula:
m = (2 - 5) / (8 - 4)
Simplifying the numerator and denominator:
m = -3 / 4
Therefore, the slope of the line passing through the points (4,5) and (8,2) is -3/4.
Plot y=1x+2 on the graph.
To plot the equation y = x + 2 on a graph, you can start by creating a table of values.
Let's select a range of x-values, such as -3, -2, -1, 0, 1, 2, and 3.
Then, plug each value into the equation to find the corresponding y-values.
When x = -3:
y = (-3) + 2 = -1
When x = -2:
y = (-2) + 2 = 0
When x = -1:
y = (-1) + 2 = 1
When x = 0:
y = 0 + 2 = 2
When x = 1:
y = 1 + 2 = 3
When x = 2:
y = 2 + 2 = 4
When x = 3:
y = 3 + 2 = 5
Now that we have several points, let's plot them on a graph.
The points are (-3,-1), (-2,0), (-1,1), (0,2), (1,3), (2,4), and (3,5).
On the x-axis, mark the points -3, -2, -1, 0, 1, 2, and 3.
On the y-axis, mark the points -1, 0, 1, 2, 3, 4, and 5.
Now, plot the corresponding points on the graph:
(-3,-1)
(-2,0)
(-1,1)
(0,2)
(1,3)
(2,4)
(3,5)
Once you have plotted all the points, draw a straight line connecting them. This line represents the graph of y = x + 2.
Let's select a range of x-values, such as -3, -2, -1, 0, 1, 2, and 3.
Then, plug each value into the equation to find the corresponding y-values.
When x = -3:
y = (-3) + 2 = -1
When x = -2:
y = (-2) + 2 = 0
When x = -1:
y = (-1) + 2 = 1
When x = 0:
y = 0 + 2 = 2
When x = 1:
y = 1 + 2 = 3
When x = 2:
y = 2 + 2 = 4
When x = 3:
y = 3 + 2 = 5
Now that we have several points, let's plot them on a graph.
The points are (-3,-1), (-2,0), (-1,1), (0,2), (1,3), (2,4), and (3,5).
On the x-axis, mark the points -3, -2, -1, 0, 1, 2, and 3.
On the y-axis, mark the points -1, 0, 1, 2, 3, 4, and 5.
Now, plot the corresponding points on the graph:
(-3,-1)
(-2,0)
(-1,1)
(0,2)
(1,3)
(2,4)
(3,5)
Once you have plotted all the points, draw a straight line connecting them. This line represents the graph of y = x + 2.
Only using 2 points
To plot the equation y = x + 2 on a graph using only two points, we can select any two points and find their coordinates.
Let's choose two x-values, such as x = 0 and x = 1, and find the corresponding y-values:
When x = 0:
y = 0 + 2 = 2
When x = 1:
y = 1 + 2 = 3
The two points we found are (0, 2) and (1, 3).
Now, let's plot these two points on a graph.
On the x-axis, mark the points 0 and 1.
On the y-axis, mark the points 2 and 3.
Plot the points (0, 2) and (1, 3) on the graph. These two points are the coordinates on the line y = x + 2.
To show the line, draw a straight line passing through these two points. This line represents the graph of y = x + 2.
Let's choose two x-values, such as x = 0 and x = 1, and find the corresponding y-values:
When x = 0:
y = 0 + 2 = 2
When x = 1:
y = 1 + 2 = 3
The two points we found are (0, 2) and (1, 3).
Now, let's plot these two points on a graph.
On the x-axis, mark the points 0 and 1.
On the y-axis, mark the points 2 and 3.
Plot the points (0, 2) and (1, 3) on the graph. These two points are the coordinates on the line y = x + 2.
To show the line, draw a straight line passing through these two points. This line represents the graph of y = x + 2.