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anastassius [24]
3 years ago
13

A line / passes through the point (-2, 5) and intersects the axis of the y at the same point as the line y = 3x-4. What is the e

quation for the line?​
Mathematics
1 answer:
djyliett [7]3 years ago
7 0

Answer:

y= -10

Step-by-step explanation:

y=3x-4

y=3*(-2)-4

y= -6-4

y= -10

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<u>Graph 1</u>

coordinates : (0,-5) (-6,-2)

m = (y2-y1)/(x2-x1)

m = (-2-(-5))/(-6-0)

m = 3/-6 = -1/2

Substitute the values,

y = mx + c

-2 = (-1/2)(-6) + c

-2 = 3 + c

c = -5

Thus, equation is y = -1/2x -5

<u>Graph </u><u>2</u>

coordinates : ( 4,-2) (-5,3)

m = (y2-y1)/(x2-x1)

m = (3-(-2))/(-5-4)

m = 5/-9

Substitute the values,

y = mx + c

-2 = (-5/9)(4) + c

-2 = -20/9 + c

c = 2/9

Thus, the equation is y = -5/9 + (2/9)

Hope it helps :)

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