Question

Line c has an equation of y=-3/4x-3. Line d is parallel to line c and passes through the points (-2, -2). What is the equation of line d in slope intercept form?

Answer 1

Answer:

y = $\frac{3}{4}$ x - $\frac{7}{2}$

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 = - $\frac{3}{4}$ x - 3 ← is in slope- intercept form

with slope m = - $\frac{3}{4}$

Parallel lines have equal slopes , then

y = - $\frac{3}{4}$ x + c ← is the partial equation of line d

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

- 2 = $\frac{3}{2}$ + c ⇒ c = - 2 - $\frac{3}{2}$ = - $\frac{7}{2}$

y = - $\frac{3}{4}$ x - $\frac{7}{2}$ ← equation of line d