Question

The slope of a line is –2 and its y-intercept is (0, 3). What is the equation of the line that is parallel to the first line and passes through (2, 2)
A.
2x + y = 6
B.
y = –2x + 3
C.
y= 1/2x+ 6
D.
y = –2x – 6

Answer 1

well, the 2nd line is parallel to the 1st one, \(\bf \text{parallel lines have the same slope}\)
so the 2nd line has a slope of -2, and passes through (2, 2)
\(\bf m = -2, \\x_1 = 2,\\ y_1 = 2\)
use the point-slope form
\(\huge y-y_1=m(x-x_1)\)
to get the equaton, by plugging those values in, and solving for "y"

Answer 2

thank you!

Answer 3

yw