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Question

14) write the equation of the line with x- intercept (-6,0) and y- intercept (0,2).

15) Divide t7/t4

Answer 1

For your first one, recall the slope-intercept formula, y = mx + b. You have b, the y-intercept, 2. You can find the slope by the slope formula:

m = (y2 - y1) / (x2 - x1)
m = (2 - 0) / (0 - (-6))
m = 1/3

So, your equation is then

y = (1/3)x + 2

For the second one, if you have the same base and are dividing powers, subtract the powers to simplify. So this becomes t^7 / t^4 = t^3.