Find an equation for the line that passes through the points 4,3 and , −5,6 .
1 answer:
Answer:
y -3 = -1/3(x -4)
Step-by-step explanation:
The 2-point form of the equation of a line is useful for this. For points (x1, y1) and (x2, y2), it tells you the equation can be written as ...
... y -y1 = (y2 -y1)/(x2 -x1)·(x -x1)
For your given points, this is ...
... y -3 = (6 -3)/(-5-4)(x -4)
... y -3 = -1/3(x -4) . . . . . simplifiied a bit
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<em>Comment on the solution</em>
The problem asks for "an equation", so no particular form is required. The 2-point form is the most convenient here. In standard form, the equation would be: x +3y = 13.
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Sure you could as long as you have the point.
for example let's say the slope is 2 and the point we are given is (4,4)
we know that:
plug in the values given
x=4
y=4
m=2
b, the y intercept equals -4.
so:
in this case
for example let's say the slope is 2 and the point we are given is (4,4)
we know that:
plug in the values given
x=4
y=4
m=2
b, the y intercept equals -4.
so:
in this case