Question

Write the equation of a line in slope-intercept form that is parallel to the line y = 3x +2 and passes through the point (5, 2).
A. y = 3x – 5
B. y = 3x – 13
C. y = 3x – 1
D. y = 3x + 2

Answer 1

since line is parallel to y = 3x +2
its slope is
m=3
slope of required line must be 3
because parallel lines have same slope!!
so using point slop form
\[\Large y-y _{0} =m(x-x _{0})\]
where (x0,y0) are given (5,2)
\[\Large y-2=3(x-5)\]
\[\Large y-2=3x-15\]
\[\Large y=3x-15+2\]
\[\Large y=3x-13\]

i hope it is clear !

Answer 2

and yes slope of the above is m=3 and y intercept is -13 !

Answer 3

@dasDaName did you get it ?

Answer 4

B. yeah i got it, thanks

Answer 5

you 're welcome :)