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What is an equation of line that passes through the points (-8,1) and (4,-1)put your answer

Sagot :

Answer: So we have y = (1/4)x - 1

Hello,

We'll assume a straight line, which takes the form y = mx + b, where x is the slope and b is the y intercept (the value of y when x = 0).  We can calculate m, the slope, by recognizing that slope is the rate of change of y as x is increased.  The increase in y (the "rise") divided by the increase in x (the "run") between those two points will give us the "rise/run", which is the slope, m.

Change in x:  (8 - (-4)) = 12 (the run)    Change in y:  (1 - (-2)) = 3 (the rise).  The rise/run is 3/12, or 1/4.  The slope is 1/4.

y = (1/4)x + b

We can calculate b by using one of the points provided (I'll choose (8,1)) and solve the equation for b:

1 = (1/4)*8 + b

b = -1

So we have y = (1/4)x - 1

Here for any help Erikh.

Explanation: