Answer: (0, 10)
Step-by-step explanation:
The given expression is in the standard form of linear equations: Ax + By = C, where A and B are constants.
The definition of y-intercept is the point that intersects with the y-axis, meaning that the [x] value of the point will be zero.
To find the y-intercept of an equation, substitute the [x] variable with 0, as mentioned above, the [x] value of a y-intercept is 0.
[tex]7x+y=10\\[/tex]
[tex]7(0)+y=10[/tex]
[tex]0+y=10[/tex]
[tex]y=10[/tex]
As we find the [y] value is 10, while the given [x] value is 0, therefore, the y-intercept of [tex]7x+y=10[/tex] is [tex]\boxed{(0,10)}[/tex].
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