What is an equation of the line that passes through the point ( 2 , − 4 ) (2,−4) and is parallel to the line 6 x + y = 2 6x+y=2?

6x + y = 8

Step-by-step explanation:

Please invest a bit more care in posting points and functions, so as to avoid unnecessary duplication.

One way to find this equation is to adapt the given equation of the line:

6x + y = 2  will be the equation of the "new" line if only we can calculate the correct constant (omitting the 2).

6x + y = k; let's find this k:

6(2) + (-4) = k  

Then:

12 - 4 = k, and k = 8.

The desired new equation is 6x + y = 8.

the third picture

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.