Question

Write the equation of the line which passes through (5, –2) and is parallel to x = 4. (1 point)

Answer 1

@bombshellbri Do you know the slope of the line x=4?

Answer 2

no.

Answer 3

Do you know how slope is defined?

Answer 4

im sorry, it is not

Answer 5

slope is defined as change in y over change in x
let a line passes through two point (x2, y2) and (x1, y1)
then its slope is given as
\[\text{slope}=\frac{y2-y1}{x2-x1}\]

Answer 6

suppose we have a line y=2
here the y coordinate won't change but x will change
say x changes from 1 to 9
but y will remain same
so the two points are (1, 2) and (9, 2)
Can you tell me the slope for this line?

Answer 7

2 - 2/ 9 - 1
0 / 8
the slope is 0

Answer 8

good, supposedly the line is x=4
here its x coordinate won't change
then could you tell me its slope?

Answer 9

wouldbt it be 4?

Answer 10

Use my method to find the points, remember that the x coordinate won't change but y will change

Answer 11

ok...

Answer 12

Try and let me know if you get stuck anywhere

Answer 13

x = 5

Answer 14

what's x=5?

Answer 15

the equation for the problem i need help on

Answer 16

how did you get to this?

Answer 17

x=4 is just a vertical line passing through (4,0). So a line parallel to that must be vertical too. There's only one vertical line that goes through (5,-2), and that has to be

Answer 18

great @bombshellbri
good work :D

Answer 19

thank you ! :D