3 years ago

Find the equation of the line that passes through the point (3,14) and is parallel to y=2/3x -6

Mathematics

2 answers:

sammy [17]3 years ago

7 0

You use the point slope formula
y-y1=m(x-x1)
y-14=2/3(x-3)
y-14=2/3x-2
+14 +14
y=2/3x+12

Ugo [173]3 years ago

4 0

Y=mx+b
m=slope

paralell ines have same slope
y=2/3x-6
slope is 2/3

the equation of aline that passes through (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
(3,14) and slope is 2/3
y-14=2/3(x-3)
y-14=2/3x-2
y=2/3x+12

You might be interested in

The variable Z is directly proportional to X. when X is 15, Z has the value of 45. what is the value of Z when X=23

IrinaVladis [17]

$If\ Z\ is\ directly\ proportional\ to\ X\ then\ \frac{Z}{X}=const.\\------------------------\\X=15\ and\ Z=45\\\\X=23\ and\ Z=?\\\\\frac{Z}{23}=\frac{45}{15}\to\frac{Z}{23}=3\ \ \ \ |multiply\ both\ sides\ by\ 23\\\\\huge\boxed{Z=69}$