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the pre image of a line has the equation y=-7x. this line is translated -5 units along the x-axis and the 8 units along the y-axis. which is the equation of the image of this line?

ill mark you brainliest if youre right

the pre image of a line has the equation y7x this line is translated 5 units along the xaxis and the 8 units along the yaxis which is the equation of the image class=

Respuesta :

Answer:

  (b)  y = -7x -27

Step-by-step explanation:

When x and y in the equation y = f(x) are replaced by (x-h) and (y-k), the function graph is translated h units right and k units up. The translated function can be written as ...

  y -k = f(x -h)

  y = f(x -h) +k . . . . . . add k

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Your function is ...

  y = -7x

and you want to translate it by (h, k) = (-5, 8). That makes it ...

  y' = -7(x -(-5)) +8 = -7x -35 +8

  y' = -7x -27