Question

Choose the slope-intercept equation of the line that passes through the point (-2, 2) and is parallel to y = 4x + 7.

y = 1 over 4 x + 5 over 2
y = -4x - 6
y = 4x + 10
y = -x + -1 over 4 + 3 over 2
I don't get math.

Answer 1

What is the slope of the equation y=4x+7? Can u plz tell me.

Answer 2

m=4

Answer 3

For parallel lines slope is the same. So the slope of the required equation is also 4.
Also
\(\large\frac{y-y_1}{x-x_1}=m\)
That is
\(\large\frac{y-2}{x-(-2)}=4\)
Nw can u find the equation?

Answer 4

since it is parallel to y = 4x + 7.its slope is m=4
since slope of parallel lines are equal
slope of required line must be m=4
now using the point slope form
\[\Large y-y_{0}=m(x-x_{0})\]
so
\[\Large y-2=4(x-(-2))\]
can you now make it as point slope form just simplify and take the -2 from the left side to the right.

Answer 5

@pam142 can you find its slope intercept form now?

Answer 6

so I add 2?

Answer 7

ok let me get you one step ahead .
\[\Large y-2=4(x+2)\]
\[\Large y-2=4x+8\]
can you make the following form from the above
\[\Large y=mx+c\]
??

Answer 8

y=4x+6?

Answer 9

yeah just add 2 to the both sides and -2 will get cancelled on the left side and added to the right
and you will have
y=4x+10 !

Answer 10

fat baby

Answer 11

ohhh okay thanks :D

Answer 12

you 're welcome:)