Question

Find the slope-intercept form of an equation for the line that passes through (–1, 2) and is parallel to y = 2x – 3.

Question 8 options:

a)

y = –0.5x – 4


b)

y = 0.5x + 4


c)

y = 2x + 4


d)

y = 2x + 3

Answer 1

B or D is the answer

Answer 2

c

Explanation:

The equation of a line in slope- intercept form is

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

Given y = 2x - 3 ← in slope- intercept form

with m = 2

• Parallel lines have equal slopes, hence

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

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

2 = - 2 + c ⇒ c = 2 + 2 = 4

y = 2x + 4 → c