The line parallel to y=9x+4 that passes through (2,7)

y = 9x + 4....the slope here is 9. A parallel line will have the same slope

y = mx + b
slope(m) = 9
(2,7)...x = 2 and y = 7
now we sub into the formula and find b, the y int
7 = 9(2) + b
7 = 18 + b
7 - 18 = b
-11 = b

so ur parallel equation is : y = 9x - 11 <==

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abidemiokin abidemiokin · Answer 2 · 2021-10-21T10:39:59+02:00

The equation of the line parallel to y=9x+4 that passes through (2,7) is y = 9x - 11

The equation of a line in point-slope form is expressed as:

y - y0 = m(x-x0)

m is the slope of the line

(x0, y0) is any point on the line

Given the equation y = 9x + 4, the slope of the line is expressed as:

mx = 9x

m = 9

We will use the same slope since the lines are parallel

Substitute the slope and the given point into the formula;

y - 7 = 9 (x -2)

y - 7 = 9x - 18

y = 9x -18 +7

y = 9x - 11

Hence the equation of the line parallel to y=9x+4 that passes through (2,7) is y = 9x - 11

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