A line contains the points (-4,5) and (3,-9). Write the equation of the line using slope-intercept form..please hurry

Mathematics

1 answer:

kotegsom [21]3 years ago

4 0

Answer:

y= -2x-3

Step-by-step explanation:

Using the slope intercept form we have to first find the gradient of the line.

m=(y₂-y₁)/(x₂-x₁)

y₁=5

y₂=-9

x₁=-4

x₂=3

Therefore, m= (-9-5)/(3--4)

=-2

Therefore if we pick any point on the line, say, (-4,5) we obtain the same slope.

(y-5)/(x--4)=-2

(y-5)/(x+4)=-2

y-5=-2(x+4)

y-5=-2x-8

y= -2x-3

Thus the equation of the line in the slope intercept form is: y= -2x-3

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