Question

Passing through the point (3,-2) and parallel to the line with the equation Y=1/3 x-7

Answer 1

Answer:

y = $\frac{1}{3}$ x - 3

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 = $\frac{1}{3}$ x - 7 ← is in slope- intercept form

with m = $\frac{1}{3}$

Parallel lines have equal slopes, thus

y = $\frac{1}{3}$ x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = 1 + c ⇒ c = - 2 - 1 = - 3

y = $\frac{1}{3}$ x - 3 ← equation of line