Question

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

Answer 1

1. First find the equation of the line by inserting each point separately into the formula y = mx + b to get:

3 = -5m + b
-3 = m + b

2. Isolate b in each equation to get:

b = 3 + 5m
b = -3 - m

3. Set b = b, then solve for m:
3 + 5m = -3 - m
5m + m = -3 - 3
6m = -6
m = -6/6
m = -1

since m represents the slope, the slope is -1.

Now, substitute m = -1 back into one of the original formulas to find b:

b = 3 + 5(-1)
b = 3 - 5
b = 8

So now we know the equation of the original line:

y = -x + 8

Answer 2

Now, to find the x-intercept, just set y = 0, and solve for x.

Answer 3

ok

Answer 4

Let me know what you get for x.

Answer 5

wait what do mean by set y = 0, and solve for x ?

Answer 6

yes

Answer 7

y = -x + 8

Answer 8

Set y = 0, and solve for x

Answer 9

is it -1

Answer 10

is that right ?

Answer 11

If you set y to 0 you will have

0 = -x + 8

Then after you add x to both sides, you will get

x = 8

Answer 12

oh

Answer 13

thanks

Answer 14

I'm trying to figure out why you couldn't do that on your own.

Answer 15

Do you even know how to solve algebraic equations?

Answer 16

yes

Answer 17

Well, so far, unfortunately, you haven't convinced me.

Answer 18

i head went blank for a second, i just forgot.