Which equation represents the line that passes through ( -8, 11) and ( 4, 7/2)?
1 answer:
Answer:
A
Step-by-step explanation:
Recall the general equation for a straight line is
y = mx + b
where m is the gradient and b is the y-intercept
given 2 points whose coordinates are (x1, y1) and (x2, y2), m can be found with the following formula:
m =
in this case, x1 = -8, y1 = 11, x2 = 4, y2=7/2
applying these values to the formula for m will give
m = -(5/8)
We can see immediately that the only 2 possible answers are A or B.
If we substitute this back into the general equation, we get:
y = -(5/8)x + b
In order to find the value for b, we substitute any one of the 2 given points back into this equation. Lets choose (-8,11)
11 = -(5/8) (-8) + b
11 = -(5/8) (-8) + b
11 = 5 + b
b = 6
hence A is the answer.
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