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What are the slope and the y-intercept of the linear function that is represented by the graph?
1 answer:
The slope and the y-intercept of the linear function represented by the graph is given as follows:
The slope is two-thirds, and the y-intercept is –2.
<h3>What is a linear function?</h3>A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Looking at the graph, when x = 0, y = -2, hence the y-intercept is of -2. The slope is given by <u>change in y divided by change in x</u>, hence considering that the graph also goes through (3,0), it is given by:
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
D
Step-by-step explanation:
Please look at the attached picture for full solution.
Method 1 is using the shoelace method to find the area of the rectangle. Shoelace method can be used to find the areas of any polygons given their coordinates. The coordinates have to be taken in an anticlockwise order and ending with the first coordinate.
Method 2 is making use of the distance formula of two points. The formula is as shown below:
Having found the distance of the length and breadth of the rectangle, you can now find its area since area of rectangle= length × breadth.
