What is an equation of the line that passes through the point (6,4) and is parallel to the line x-6y=48

The equation of the line that passes through the point (6,4) and is parallel to the line x-6y=48 is 6y - x = 18

The formula for calculating 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 x - 6y = 48

-6y = -x + 48

y = 1/6 x - 8

Slope of the line parallel to the line is 1/6

Get the required equation as shown;

y - 4 = 1/6(x - 6)

6(y-4) = x - 6

6y - 24 = x - 6

6y - x = -6 + 24

6y - x = 18

Hence the equation of the line that passes through the point (6,4) and is parallel to the line x-6y=48 is 6y - x = 18

Learn more here: link

6y = x + 18

Step-by-step explanation:

x-6y=48

6y = x - 48

y = x/6 - 8

Parallel lines have the same slope

So the slope is ⅙

y - 4 = ⅙(x - 6)

y - 4 = x/6 - 1

y = x/6 + 3

6y = x + 18

d 600 because 15*10*2=300

300+300=600

step-by-step explanation: