Question

Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x - 4.

y = 3x + 7
y = 3x - 7
y = 1/3x + 2
y = 1/3x - 2​

Answer 1

• y=3x-4

Compare to slope intercept form

• slope=m=3

parallel lines have equal slope

Equation in point slope form

• y-y1=m(x-x1)
• y-2=3(x-3)
• y-2=3x-9
• y=3x-7

Option B

Answer 2

Parallel" means same slope. Our line is y=3x-4 has slope m=3. So, our new line should also have slope m=3; we can immediately eliminated choices C and D.

Explanation:

We can write our line y = 3x+b, and we can use the point given (3,2) to solve for b.

2 = 3*3 + b

b = -7

The required line is y = 3x - 7, choice B.