Question

Haven't done this since 6th grade and I'm a freshman in college, find the equation of a line that passes through (2,12) and is parallel to the graph of y=2x+4, can someone explain please? Thanks!

Answer 1

with practice it will come back to you.

parallel lines have the same slope
the equation of a line is such that y is a function of x
y is dependent on the value of x
and the slope is the rate of change. this is the ratio of how much y changes for the corresponding change in x
y = m x + b
m is the slope of the line and b is the value of y when the value of x = 0
b is also known as the y-intercept

what is the slope of the given line?

Answer 2

y = m x + b
y = 2 x + 4
what is m ?

Answer 3

m=2

Answer 4

good

Answer 5

we know that the second line passes through the point (2, 12) this is the (x, y)
the line is parallel to the first line so m is the same = 2
and y = m x + b so we can put the numbers in and find b
what is b?

Answer 6

12?

Answer 7

no (2, 12) means x = 2 and y = 12
a point is always (x, y)
y = m x + b you have y, m and x replace the letters with the numbers and you only have one unknown in the equation to solve that's b

Answer 8

so would it be y=-2x+12

Answer 9

y = m x + b
12 = 2(2) + b

Answer 10

b=8

Answer 11

yes
so for the parallel line to the one given the slope m = 2 and b = 8 and to find any point the point is (x, y)
the equation is written y = m x + b replace m and b with the numbers

Answer 12

wow, thank you that makes a lot more sense. I really appreicatr your help.

Answer 13

no problem