Two different linear functions are shown below with two points given from each function. Use slope-intercept form or point-slope form to find the equation of each. Linear Function A Points: (–5, –2), (–5, 7) Linear Function B Points: (7, –5), (–2, –5)
Answers
Answer:
Equation for line A is: X = -5.
Equation for line B is: Y = -5.
Step-by-step explanation:
If function A with points (–5, –2), (–5, 7) and function B with points (7, –5), (–2, –5) denote linear functions, then will be Function A has undefined gradient: no gradient The equation for line A becomes: x = -5 The slope value of function B is 0. The formula for line B is: y = -5
Recall: The slope intercept is with respect to the vertical line: x = number on the x-axis The shape of the slope intercept is for horizontal lines: y = number on the y-axis therefore: Linear function A with points (–5, –2), (–5, 7): (not shareable, undefined)
Therefore, function A has no gradient (undefined). A straight line is a vertical line. So the equation for function A is written as x = -5 -5 is where the vertical line intersects the x-axis. Linear function B with points (7, -5), (-2, -5): A slope value of 0 means that the linear equation line is horizontal. The equation for function A is written as y = -5 -5 is where the horizontal line intersects the y-axis.
In summary, function A with points (–5,–2), (–5, 7) and function B with points (7,–5), (–2,–5) represent linear functions, so It will be as follows.
Function A has undefined gradient: no gradient The equation for line A becomes: x = -5
The slope value of function B is 0. Equation for line B is: y = -5
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Answer: For Linear function A- It is a vertical line that goes through the point (-5,-2) and (-5,7).
For linear function B- It is a horizontal line that goes through the point (7,-5) and (-2,-5).
Step-by-step explanation:
Linear Function A:
The two points given for Linear Function A are (–5, –2) and (–5, 7). These two points have the same x-coordinate, which means that the line formed by these points is a vertical line. A vertical line is one that goes up and down, parallel to the y-axis, and does not have a slope. The equation for a vertical line is always x = constant.
In this case, the constant value is -5, so the equation for the vertical line formed by these points is x = -5. It means that for any point on the line, the x-coordinate will always be -5. It is a vertical line that goes through the point (-5,-2) and (-5,7).
Linear Function B:
The two points given for Linear Function B are (7, –5) and (–2, –5). Both points have the same y-coordinate, which means that the slope is undefined. The slope of a line is defined as the change in the y-coordinate divided by the change in the x-coordinate. Since the y-coordinate is the same for both points, the change in the y-coordinate is zero, and dividing by zero is undefined.
As there is no slope, it means that the line formed by these points is a horizontal line. A horizontal line is one that goes left and right, parallel to the x-axis, and has a slope of 0. The equation for a horizontal line is always y = constant.
In this case, the constant value is -5, so the equation for the horizontal line formed by these points is y = -5. It means that for any point on the line, the y-coordinate will always be -5. It is a horizontal line that goes through the point (7,-5) and (-2,-5).
To learn more about Linear Function from the link below
https://brainly.com/question/2248255
To learn more about x-coordinate from the link below
https://brainly.in/question/2092012
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