### Home > CAAC > Chapter 8 > Lesson 8.2.1 > Problem 8-47

8-47.

Change 6

*x*− 2*y*= 10 to slope-intercept (*y*=*mx*+*b*) form. Homework Help ✎State the slope (

*m*) and the*y*-intercept (*b*).Use the point-slope formula to find an equation of the line parallel to 6

*x*− 2*y*= 10 through the point (3, 6).

6*x* − 2*y* = 10

−2*y* = −6*x* + 10

*y* = 3*x* − 5

Read the slope and the *y*-intercept from the equation.

slope = 3*y*-intercept = (0, −5)

Parallel lines have the same slope.

Substitute the slope you found and the point given, (*h*, *k*) into the point-slope formula: *y* − *k* = *m*(*x* − *h*)

Simplify the equation and write in slope intercept form.

*y* = 3*x* − 3