Question

What is the equation of the line that is parallel to y=4/7x-3 and passed through (14,4)?

Answer 1

The correct answer is actually:
y=4/7x-4

Answer 2

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

y = $\frac{4}{7}$ x - 3 is in this form

with slope m = $\frac{4}{7}$

• Parallel lines have equal slopes, hence

y = $\frac{4}{7}$ x + c ← is the partial equation

To find c substitute (14, 4) into the partial equation

4 = 8 + c ⇒ c = 4 - 8 = - 4

y = $\frac{4}{7}$ x - 4 ← equation of parallel line