Question

Find the intercepts and graph the equation by plotting points.

7x+6y=42
Que
What are the intercepts? Select the correct choice below and, if ne
to complete your choice.
A. The intercept(s) is/are

Answer 1

The x-intercept is (6, 0) and the y-intercept is (0, 7). The graph of the equation is a straight line passing through these two points.

Step-by-step explanation:

The equation 7x + 6y = 42 represents a line in the coordinate plane. To find the x-intercept, we set y = 0 and solve for x. Plugging in y = 0, we get 7x + 6(0) = 42, which simplifies to 7x = 42. Dividing both sides by 7, we find x = 6. Therefore, the x-intercept is (6, 0).

To find the y-intercept, we set x = 0 and solve for y. Plugging in x = 0, we get 7(0) + 6y = 42, which simplifies to 6y = 42. Dividing both sides by 6, we find y = 7. Therefore, the y-intercept is (0, 7).

To graph the line, we plot these two points on the coordinate plane and draw a line through them. The graph of the equation 7x + 6y = 42 is a straight line passing through the points (6, 0) and (0, 7).

Learn more about Intercepts in linear equations