Find the slope of the line graphed below.y12345-1-2-3-4-5x12345-1-2-3-4-5
Question
Find the slope of the line graphed below.y12345-1-2-3-4-5x12345-1-2-3-4-5
Solution 1
To find the slope of the line graphed, follow these steps:
-
Identify Two Points on the Line:
- Look at the graph and choose two points that the line passes through. For example, let's say the line passes through the points (1, 2) and (3, 4).
-
Label the Points:
- Let the first point be and the second point be .
- For our example, and .
-
Use the Slope Formula:
- The slope of a line passing through two points and is given by the formula:
-
Substitute the Coordinates into the Formula:
- Substitute and into the formula:
-
Simplify the Expression:
- Calculate the differences in the numerator and the denominator:
- Simplify the fraction:
-
Conclusion:
- The slope of the line is .
If you have a different graph with different points, you can follow the same steps using the coordinates of the points from that specific graph.
Solution 2
To find the slope of the line graphed below, we can use the formula for slope, which is given by the change in y divided by the change in x.
Looking at the graph, we can see that the line passes through the points (1, 1) and (5, 5).
The change in y is equal to 5 - 1 = 4, and the change in x is equal to 5 - 1 = 4.
Therefore, the slope of the line is 4/4 = 1.
Solution 3
To find the slope of the line graphed below, we can use the formula for slope, which is given by the change in y divided by the change in x.
Looking at the graph, we can see that the line passes through the points (1, 1) and (5, 5).
The change in y is equal to 5 - 1 = 4, and the change in x is equal to 5 - 1 = 4.
Therefore, the slope of the line is 4/4 = 1.
Similar Questions
Graph the line with y-intercept −5 and slope −12.y2468-2-4-6-8x2468-2-4-6-8
Find the slope of the line passing through the points −5, 4 and 5, 4.slope:
What is the slope of a line that is parallel to the line: y = 4 / 5x - 5 ?
Find the slope and the y-intercept of the line.=+5x4y−3Write your answers in simplest form.
Find the slope of the line.y = -4x + 2
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.