Question

16. Write the slope-intercept form of the line described in the following:Parallel to X-6y=-18and passing through (-5, -4)

Answer 1

x - 6y = -18

P1 = (-5, -4)

1.- Solve the equation for y to find the slope

x - 6y = -18

-6y = -x - 18

y = -1/-6x - 18/-6

y = 1/6 x + 3

2.- Find the slope

The slope is the coefficient of x

slope = m = 1/6

3.- Find the equation of the line

y - y1 = m(x - x1)

y + 4 = 1/6(x + 5)

y + 4 = 1/6x + 5/6

y = 1/6x + 5/6 - 4

y = 1/6 x + 5/6 - 24/6

y = 1/6x - 19/6

4.- Result

y = 1/6x - 19/6