Question

Given:-2x+3y=18 . When x has a value of zero, what is the value of y? When y has a value of zero, what is the value of x? What are these solutions called when they are graphed as part of the line -2x+3y=18? Complete your work in the space provided.

Answer 1

Answer: 6, -9, ?

Explanation:

When x has a value of zero:

-2x + 3y = 18

Substitute 0 into the value of x:

-2(0) + 3y = 18

We know that anything multiplied by 0 will always be zero, so you get:

3y = 18

Therefore, after dividing both sides by 3 to get y on its own, you get:

y = 6

When y has a value of zero:

-2x + 3y = 18

Substitute 0 into the value of y:

-2x + 3(0) = 18

We know that anything multiplied by 0 will always be zero, so you get:

-2x = 18

To get a positive number from a negative number x needs to be a negative number. Remember - and - makes +.

x = -9

Unfortunately, I am unable to answer the final part of the question, but hopefully what I've already written will spark a memory of something you learnt in class :)

Hoped this helped!

Answer 2

When x has a value of 0, the equation -2x+3y=18 becomes 0+3y=18. Solving for y, we find that y=6.

When y has a value of 0, the equation -2x+3y=18 becomes -2x+0=18. Solving for x, we find that x=-9.

These solutions are called the x-intercept and the y-intercept, respectively, when they are graphed as part of the line -2x+3y=18. The x-intercept is the point where the line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis. In this case, the x-intercept is (-9,0) and the y-intercept is (0,6). These points can be used to graph the line and to understand its slope and direction.

Explanation: