Find the ordered pairs for the x- and y-intercepts of the equation 3x − 2y = 18 and select the appropriate option below. a)the x-intercept is (0, 6); the y-intercept is (–9, 0). b) the x-intercept is (6, 0); the y-intercept is (0, –9). c) the x-intercept is (3, 0); the y-intercept is (0, –2). d)the x-intercept is (0, 3); the y-intercept is (–2, 0). *i'm just guessing it's "b" because it sounds right but, can somone explain to my how to get the answer : -)*

B)

Step-by-step explanation:

Y intercept:

Simply substitute all the x values with 0:

When x = 0:

3(0) - 2y = 18

Move the - 2y over to the other side making it a +2y:

0 = 18 + 2y

Move the +18 over to the other side making it a -18:

-18 = 2y

Divide both sides by 2:

-9 = y

So y intercept is:

X - intercept:

Simply substitute all the Y's with 0:

3x - 3(0) = 18

3x = 18

Divide both sides by 3:

x = 6

So the X intercept is:

This means that your guess of B is correct.

B) → x-intercept = (6, 0) and y-intercept = (0, -9.)

First, we'll work with y, where we'll substitute x by 0:

3(0) - 2y = 18

0 - 2y = 18

-2y = 18 + 0

-2y = 18

y = 18 / -2

y = -9  → y-intercept = 0, -9 ←

↑ Many people wonder where the "0" comes from, and it's just the place where the x-intercept value would be placed in a system of equations.

Second, we'll work with x, following the same method as before, this time, substituting y by 0:

3x - 2(0) = 18

3x - 0 = 18

3x = 18 + 0

3x = 18

x = 18 / 3

x = 6  → x-intercept = 6, 0 ←

↑ Same here. The "0" is just the place where the y-intercept value would be, if we were working with a system of equations.

Hope it helped

BioTeacher101