Question

Find the intercepts for the graph of the equation given.
7xminus2yequals28

Answer 1

To find the intercepts of the equation \(7x - 2y = 28\), we will find both the x-intercept and y-intercept.

### 1. Finding the x-intercept:
The x-intercept occurs when \(y = 0\).

Substituting \(y = 0\) into the equation:
\[
7x - 2(0) = 28
\]
\[
7x = 28
\]
\[
x = \frac{28}{7} = 4
\]
Thus, the x-intercept is at the point \((4, 0)\).

### 2. Finding the y-intercept:
The y-intercept occurs when \(x = 0\).

Substituting \(x = 0\) into the equation:
\[
7(0) - 2y = 28
\]
\[
-2y = 28
\]
\[
y = \frac{28}{-2} = -14
\]
Thus, the y-intercept is at the point \((0, -14)\).

### Summary:
- The x-intercept is \((4, 0)\).
- The y-intercept is \((0, -14)\).