Through (1,5); parallel to f(x) =3x-4

y = 3x + 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 )

f(x) = 3x - 4 is in this form

with m = 3

• Parallel lines have equal slopes, hence

y = 3x + c ← is the partial equation

To find c substitute (1, 5) into the partial equation

5 = 3 + c ⇒ c = 5 - 3 = 2

y = 3x + 2 ← is the equation of the parallel line

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

the answer is c. 23/3