Lots of points and not really hard and wont take too long to ! plz

see explanation

Step-by-step explanation:

19

The equation of a line in slope- intercept form is

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

y = 2x - 3 is in this form with slope m = 2

• Parallel lines have equal slopes, hence

y = 2x + c ← partial equation of parallel line

To find c substitute (- 1, 2) into the partial equation

2 = - 2 + c ⇒ c = 2 + 2 = 4

y = 2x + 4 ← equation of parallel line

20

Rearrange x - 3y = 5 into slope- intercept form

Subtract x from both sides

- 3y = - x + 5 ( divide all terms by - 3 )

y = x - ← in slope- intercept form

with slope m =

Given a line with slope m then the slope of a line perpendicular to it is

= - = - = - 3, so

y = - 3x + c

The line passes through (0, 6) ⇒ c = 6

y = - 3x + 6 ← equation of perpendicular line