Question

Find the equation of a line that is parallel to

f(x)=3x+4
and passes through the point (2,3).

Answer 1

g(x) = 3x - 3

Explanation:

Slope-Intercept Form: y = mx + b

If a line is parallel to another, they have the same slope.

Step 1: Define variables

m = 3

Random pt (2, 3)

y = 3x + b

Step 2: Find b

3 = 3(2) + b

3 = 6 + b

b = -3

Step 3: Write parallel linear equation

y = 3x - 3