To find the x- and y-intercepts of the equation \(35 - 10x + y = 0\), we can set each variable to zero in turn.
X-Intercept:
To find the x-intercept, set \(y = 0\) and solve for x:
\[35 - 10x + 0 = 0\]
Solve for x:
\[10x = 35\]
\[x = \frac{35}{10} = \frac{7}{2}\]
So, the x-intercept is \(\left(\frac{7}{2}, 0\)\).
Y-Intercept:
To find the y-intercept, set \(x = 0\) and solve for y:
\[35 - 10(0) + y = 0\]
\[35 + y = 0\]
\[y = -35\]
So, the y-intercept is \((0, -35)\).
In summary:
- X-intercept: \(\left(\frac{7}{2}, 0\)\)
- Y-intercept: \((0, -35)\)
