Find an equation of the line through (2,4) and parallel to y=3x-7. Write the equation using function notation. f(x)=?
parallel lines have same slope
do you know what is slope of this equation y =3x - 7 ??
3x
not 3x slope is just 3 :)
so like i said before parallel lines have same slope so what is slope of other equation
you mean (2,4)?
does y=3x-7= (3,-7)?
nope you have to find another equation which should parallel of this y =3x-7 so if slope of this equation is 3 then slope of other equation should 3 because lines are parallel
nope new equation should be y = 3x+b y = m x + b <--- slope intercept form
ahh i forgot about mx+b
now use that order pair and replace x and y by their values (2,4) into y = 3x+b
4=6+b
do i divide all sides by 4?
looks good solve for b
nope 6 + b 6 is adding with b so do opposite
opposite of add is ??
subtract
yes so subtract 6 both side
-2=b
or b=-2
yes now y = mx+b replace m and b by their values
4=3(2)-2?
f(x)=3x-2 ??
^^^this one
so thats the correct one?
yes f(x)=3x-2 :)
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