Question

what is the equation of a line that is parallel to the line y=3/4x+2 and passes through the point (-2,8)?

Answer 1

Answer:

D

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 + 2 ← is in slope- intercept form

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

Parallel lines have equal slopes , thus

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

To find c substitute (- 2, 8) into the partial equation

8 = - $\frac{3}{2}$ + c ⇒ c = 8 + $\frac{3}{2}$ = $\frac{19}{2}$

Equation of parallel line is

y = $\frac{3}{4}$ x + $\frac{19}{2}$ → D