Question

The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line and passes through (2, –1)?

Answer 1

what's the slope of y = 2x + 3 ?

Answer 2

2x

Answer 3

just 2 actually. :)
and parallel lines have the same slope so the slope of the parallel line is also 2.
You can write the equation in point slope form
\[y-y_1=m(x-x_1)\]
m is the slope, so that's 2
(x_1,y_1) is the point so that's (2, -1)

Answer 4

so the nwser is 2x+y=-1

Answer 5

y + 1 = 2(x - 2)
y + 1 = 2x - 4
y = 2x - 5
2x - y = 5

Answer 6

y = 2x – 5 can it be written like this

Answer 7

yes that's slope intercept form.
y + 1 = 2(x - 2) is point slope form
2x - y = 5 is standard form
3 different ways to write the same equation

Answer 8

thanks very much can you help me with some more