Question

What is the x-coordinate of the x-intercept of the line that passes through points (-5, 3) and (1, -3)? @jim_thompson5910

Answer 1

first you need the slope of the line that goes through those two points

Answer 2

so you use this formula

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

Answer 3

m = -6 , 6/5

Answer 4

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

m = (-3 - 3)/(1 - (-5))

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...
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m = ??

Answer 5

-1 lol

Answer 6

good

Answer 7

now onto finding the y-intercept

y = mx + b

y = -1x + b ... plug in the slope you just found

3 = -1(-5) + b ... plug in either point (I'm picking the first point)

3 = 5 + b

now solve for b

Answer 8

b = -2

Answer 9

so the equation of the line that goes through the two points is y = -1x - 2 or just y = -x - 2

Answer 10

now plug in y = 0 and solve for x

Answer 11

x = -2

Answer 12

correct

Answer 13

the answer to the question is -2 ?

Answer 14

yes

Answer 15

ok thnk you ! :)

Answer 16

if you were to graph y = -x - 2, you'll see it crosses the x axis at (-2,0)

Answer 17

yw