Question

Whats the answer to this problem

Answer 1

y-intercept is (3,0)

x-intercept is (0,3)

Explanation:

Answer 2

y-intercept ⇒ (0, 3)

x-intercept ⇒ (3, 0)

Explanation:

The question asks us to find the x and y-intercepts for the following equation:

`-7x -7y=-21`

• Let's calculate the y-intercept first:

The point where a line crosses the y-axis is called the y-intercept. At this point, the value of the x-coordinate is 0.

Therefore, to find the y-intercept, we simply have to substitute x = 0 into the given equation and solve for y:

`-7(0) - 7y = -21`

⇒
`-7y = -21`

⇒
`y = (-21)/(-7)` [Dividing both sides of the equation by -7]

⇒
`y = \bf 3`

Therefore, the y-intercept is (0, 3).

• Now let's calculate the x-intercept:

Similar to the y-intercept, the x-intercept is the point where the line crosses the x-axis and the value of the y-coordinate at this point is 0.

Therefore, substituting y = 0 into the given equation and solving for x, we get:

`-7x -7(0) = -21`

⇒
`-7x = -21`

⇒
`x = (-21)/(-7)` [Dividing both sides of the equation by -7]

⇒
`x = 3`

Therefore, the x-intercept is (3, 0).