the table :
(-3,8.5) .....x1 = -3 and y1 = 8.5
(-1,5.5) ....x2 = -1 and y2 = 5.5
slope = (y2 - y1) / (x2 - x1) = (5.5 - 8.5) / (-1 - (-3) = - 3 / (-1 + 3) = -3/2
coordinate plane :
(-3,0), (2,0)
notice how u have the same y values of 0....this means u have a horizontal line where no matter what x is, y will always be 0. A horizontal line has a slope of 0. And ur y intercept is (0,0)
the linear function that is in the table contains a negative slope and also has a steeper slope then the one on the coordinate plane <===
The function which has a slope of 4 will be that function or line which is going through the points (2, 0) and (3, 4).
A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
In the given question is saying for the second case the line goes through points (2, 0) and (3, 4) so the slope will be
(4 - 0)/(3 - 2) = 4 hence, it will be the correct answer because it is the only line that has a slope of 4.
For more about the linear function
brainly.com/question/21107621
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