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In the coordinate plane, line q has slope 6 and y-intercept (0, 8). Line p is the result of dilating line q by a factor of 4 with center (0, 4). What is the y-intercept and slope of line p?.

Respuesta :

The line r has slope 6 and coordinates in the specified coordinate plane, based on the given dilation (0, 12)

Dilation:

Dilation is the scaling factor multiplied by the supplied line to line ratio.

Given

Line p in the coordinate plane has a y-intercept and a slope of 6. (0, 8). Line p is dilated by a factor of 4 with center to produce line r. (0, 4).

Here, we need to determine line r's slope and y-intercept.

Here, the scaling factor is known to be 4.

Consider the line r's slope, which won't change, and its intercept, which will be their ordinate added.

So, it can be written as,

=> Intercept = 8 + 4

=> Intercept = 12

Therefore, the line r has slope 6 and coordinate (0, 12).

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