Question

Find the x- and y-intercepts of the graph of 7x + 6y = 18. State each answer as an integer or an imp

fraction in simplest form.
Answer Attempt 1 out of 2

Answer 1

final answer: x intercept: 18/7 y intercept: 3

Step-by-step explanation:

y-intercept occurs when x=0:

7, x, plus, 6, y, equals, 18

7x+6y=

18

7, left bracket, 0, right bracket, plus, 6, y, equals, 18

7(0)+6y=

18

Substitute 0 for x

6, y, equals, 18

6y=

18

start fraction, 6, y, divided by, 6, end fraction, equals, start fraction, 18, divided by, 6, end fraction

6

6y

​

=

6

18

​

Divide both sides by 6

y, equals, 3

y=

3

Divide

Answer 2

The x-intercept is 2 and the y-intercept is 3.

Step-by-step explanation:

To find the x-intercept, we set y = 0 and solve for x. Plugging y = 0 into the equation 7x + 6y = 18, we get 7x + 6(0) = 18. Simplifying, we have 7x = 18. Dividing both sides by 7, we find x = 2.

To find the y-intercept, we set x = 0 and solve for y. Plugging x = 0 into the equation 7x + 6y = 18, we get 7(0) + 6y = 18. Simplifying, we have 6y = 18. Dividing both sides by 6, we find y = 3.

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