Answer:
New York: m=3, b=-1, y=3x-1
Alaska: m=-1/2, b=6, y=-1/2x+6
2 days; 5 degrees
Step-by-step explanation:
In each case, m is the rate of change, the number of degrees per day that the temperature is changing. 1 degree per 2 days is 1/2 degree per day.
In each case, b is the given initial temperature.
The equation is y = mx + b, for the values of m and b that you fill in.
New York
m = 3, b = -1, equation: y = 3x -1
Alaska
m = -1/2, b = 6, equation: y = -1/2x +6
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The graphs can be plotted by plotting the initial point on the y-axis, then finding another point based on the slope.
For New York, another point will be 1 unit right and 3 units up, at (1, 2).
For Alaska, another point will be 2 units right a 1 unit down, at (2, 5).
The lines intersect at the point (2, 5) corresponding to 2 days, 5 degrees.
