Question

Equation of the line passing through (7,5) and (1, 2)​

Answer 1

`y = (1)/(2)x + (3)/(2)`

Explanation:

Assuming this is a linear equation in the form of
`y = mx + b`, we can first solve for the slope using
`(y_2 - y_1)/(x_2 - x_1)`, for these points, the slope would be
`(1)/(2)`. Now we plug in the points to get the equation:

plugging in (7,5), we get
`5 = (1)/(2)` ×
`7` +
`b`

and solving for b, we get b =
`(3)/(2)`

therefore, the equation of the line passing through (7,5) and (1,2) is
`y = (1)/(2)x + (3)/(2)`.

hope this helps!