Question

What is the x-coordinate of the x-intercept of the line that passes through points (-5, 3) and (1, -3)?

Answer 1

sorry dont know

Answer 2

this is a line so you have the general formula

y = mx + b
MEMORIZE THIS
where
m = slope
b = y-intercept

Answer 3

calculate the slope first since you have two points you can easily do this with the formula

m = (y2-y1)/(x2-x1)

Answer 4

\[m = \frac{y_2 - y_1}{x_2 - x_1}\]

Answer 5

sub both points into the equation to find the slope

(x, y)
(-5, 3)
(1, -3)

Answer 6

i got -6/6

Answer 7

so you got a slope of
-6/6 = -1

Answer 8

so sub that into the equation of the line which you should memorize it.

y = (-1)x + b

Answer 9

all you have to do is sub a point into the equation of the line to solve for b

Answer 10

that will give you the y intercept

Answer 11

but its asking for the x-intercept?

Answer 12

yes with the equation for the line you can find the x intercept

Answer 13

you are finding the equation of the line from these two points with that equation you can figure out what the x-intercept is by setting y = 0

Answer 14

you can also graph the line with it

Answer 15

did you solve for b?

Answer 16

i got -2 for b

Answer 17

alright so you have the equation

y = -x - 2
now you know your y intercept is at point
(0,-2)

now we need to find the x-intercept so
(x,0)
so set y = 0

0 = -x - 2
solve for x and you will have your x-intercept and the question will be finished

Answer 18

i got -2 is that correct?

Answer 19

yes
you can look at the graph here
http://www.wolframalpha.com/input/?i=y+%3D+-x+-+2+

Answer 20

thanksssss :D

Answer 21

Although the correct way to answer it is

y-intercept
(0,-2)
x-intercept
(-2,0)

Answer 22

maybe use y=mx+b