Question

8. Write an equation for the line that is parallel to the given line and that passes through the given point.

y = 3x - 8; (-6, -17)

Answer 1

y = 3x + 1

Explanation:

an equation for the line that is parallel to the given line and that passes through the given point.

y = 3x - 8; (-6, -17) turn it into a equation The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 8 ← is in slope- intercept form

with slope m = 3

To find c substitute (- 6, - 17 ) into the partial equation

- 17 = - 18 + c ⇒ c = - 17 + 18 = 1

y = 3x + 1 ← equation in slope- intercept form

Answer 2

y = 3x + 1

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 8 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes, hence

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (- 6, - 17 ) into the partial equation

- 17 = - 18 + c ⇒ c = - 17 + 18 = 1

y = 3x + 1 ← equation in slope- intercept form