Graph the linear equations given the following details: A. Using two points. 1. (2, -1) and (3, 2) 3. (4, 3) and (0,5) 2. (4, -2) and (-5, 2) 4. (1, 6) and (-2,-5) Find the slope of each line . Describe the graph. B. Using intercepts 5. (0, -3) and (1, 0) 7. (5, O) and (0, -4) 6. (-3, O) and (0, -3) 8. (2.0) and (0, 0, -4) Find the slope of the line. Describe the graph. C. Using slope and a point 9. m = 5 and (6, -1) 11. m = -2 and (4,1) 12. m = 4and (-3,-3) , 10. m =zand (2,-4) 5 - 3
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Answer:
Find the slope of a line from a graph.
· Find the slope of a line given two points.
· Find the slope of the lines x = a and y = b.
Introduction
The idea of slope is something you encounter often in everyday life. Think about rolling a cart down a ramp or climbing a set of stairs. Both the ramp and the stairs have a slope. You can describe the slope, or steepness, of the ramp and stairs by considering horizontal and vertical movement along them. In conversation, you use words like “gradual” or “steep” to describe slope. Along a gradual slope, most of the movement is horizontal. Along a steep slope, the vertical movement is greater.
Defining Slope
The mathematical definition of slope is very similar to our everyday one. In math, slope is used to describe the steepness and direction of lines. By just looking at the graph of a line, you can learn some things about its slope, especially relative to other lines graphed on the same coordinate plane. Consider the graphs of the three lines shown below:
Find the slope of a line from a graph.
· Find the slope of a line given two points.
· Find the slope of the lines x = a and y = b.
Introduction
The idea of slope is something you encounter often in everyday life. Think about rolling a cart down a ramp or climbing a set of stairs. Both the ramp and the stairs have a slope. You can describe the slope, or steepness, of the ramp and stairs by considering horizontal and vertical movement along them. In conversation, you use words like “gradual” or “steep” to describe slope. Along a gradual slope, most of the movement is horizontal. Along a steep slope, the vertical movement is greater.
Defining Slope
The mathematical definition of slope is very similar to our everyday one. In math, slope is used to describe the steepness and direction of lines. By just looking at the graph of a line, you can learn some things about its slope, especially relative to other lines graphed on the same coordinate plane. Consider the of the three lines shown below:
Step-by-step explanation:
Find the slope of a line from a graph.
· Find the slope of a line given two points.
· Find the slope of the lines x = a and y = b.
Introduction
The idea of slope is something you encounter often in everyday life. Think about rolling a cart down a ramp or climbing a set of stairs. Both the ramp and the stairs have a slope. You can describe the slope, or steepness, of the ramp and stairs by considering horizontal and vertical movement along them. In conversation, you use words like “gradual” or “steep” to describe slope. Along a gradual slope, most of the movement is horizontal. Along a steep slope, the vertical movement is greater.
Defining Slope
The mathematical definition of slope is very similar to our everyday one. In math, slope is used to describe the steepness and direction of lines. By just looking at the graph of a line, you can learn some things about its slope, especially relative to other lines graphed on the same coordinate plane. Consider the graphs of the three lines shown below: