Question

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Answer 1

Explanation:

Answer 2

1/2x

Explanation:

In order to find the equation of the line passing through the points (2, 11) and (8, 14), you can use the point-slope form of a linear equation:

`\sf y - y_1 = m(x - x_1)`

The slope of the line is using this formula:

`\sf m =( (y_2 - y_1))/((x_2 - x_1) )`

Where,

where
`\sf (x_1, y_1)` and
`\sf (x_2, y_2)` are given points and m is the slope of the line.

Now,

`\sf Slope( m)= (14 - 11)/(8 - 2)=(3)/(6)=(1)/(2)`

Now that we have the slope, and using one point (2,11) and substituting value in point slope form formula:

`\sf y - 11 = (1)/(2)(x - 2)`

Adding 11 on both side

`\sf y = (1)/(2)x -(2)/(2)+11`

`\sf y = (1)/(2) +10`

The equation of the line that passes through the coordinates (2, 11) and (8, 14) is in terms of x and y is
`\sf y = (1)/(2)x`