Problem

2.
Unknown environment 'tabular'
m=
y-intercept:

Answer

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Answer

Final Answer: The slope of the line is 3.0 and the y-intercept is 4.

Steps

Step 1 :The problem is asking for the slope (m) of the line that passes through the points given in the table and the y-intercept of the line. The slope of a line can be calculated using the formula m=y2y1x2x1, where (x1,y1) and (x2,y2) are any two points on the line. The y-intercept is the y-coordinate of the point where the line crosses the y-axis, which is when x = 0.

Step 2 :We can use the points (-3, 5) and (-2, 2) to calculate the slope, and the point (0, -4) gives us the y-intercept directly.

Step 3 :Calculating the slope: m=252(3)=3.0

Step 4 :The y-intercept is the y-coordinate when x = 0, so the y-intercept is -4.

Step 5 :Final Answer: The slope of the line is 3.0 and the y-intercept is 4.

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