9514 1404 393
Answer:
a) y = 3x-1
b) y = x+5
Explanation:
a) We notice the x-values change by 1, so the change in the y-value is the slope. -4 -(-7) = 3 is the change between the first two y-values.
The y-intercept is shown by the ordered pair (0, -1). So, the slope-intercept equation is ...
y = 3x -1
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b) We note that the change in x is 2 units, as is the change in y. Then the slope of the function is m = 2/2 = 1. The y-intercept (b) can be found from ...
b = y -mx
b = 7 -1·2 = 5
Then the slope-intercept equation is ...
y = x + 5