Question

Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x − 4.

Answer 1

gradient,m=3

Answer 2

given that the information
it must pass throught point(3,2) and must be parallel to line y=3x-4(which means that the both lines must hv the same gradient)

Answer 3

step 1: use the slope-intercept form y=mx+c
where
m=gradient
c=y-intercept
to find the value of c(y-intercept)

Answer 4

now,u hv the value of m which is 3 and a point(3,2)=(x,y)
plug all the values to find the value of c(y-intercept)

Answer 5

\[\huge{y=mx+c}\]

Answer 6

\[\huge{2=3(3)+c}\]

Answer 7

\[\huge{2=9+c}\]

Answer 8

\[\huge{c=-7}\]

Answer 9

now,u hv the value of c..lastly,u can start to form an equation..

Answer 10

\[\huge{y=\color{red}{m}x+\color{red}{c}}\]

Answer 11

\[\huge{y=\color{red}{(3)}{x}+\color{red}{(-7)}}\]

Answer 12

thanks

Answer 13

yw! @EliteKage