Question

Find the equation of the line parallel to y=3x-2 that passes through the point (4,

8) in slope-intercept
form.

Answer 1

Answer: y = -4x - 24

Explanation:

The slope-intercept form is written as y = mx + b, where m is the slope, and b is the y-intercept.

1. For parallel lines, we knew that:

3 + m = -1

m = -4

y = -4x + b

2. Then we plugin the point to find b.

y = -4x + b

8 = -4(4) + b

8 = -16 + b

b = -24

y = -4x - 24

Answer 2

y = 3x - 4

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 - 2 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

to find c substitute (4, 8 ) into the partial equation

8 = 3(4) + c = 12 + c ( subtract 12 from both sides )

- 4 = c

y = 3x - 4 ← equation of parallel line