Question

Can someone help me with the questions in the picture?

Answer 1

`y = 8`

Explanation:

Equation of the line that passes through (-2, 8) with a slope of 0, can be written in point-slope form,
`y - y_1 = m(x - x_1)` and also in slope-intercept form,
`y = mx + b`.

Using a point, (-2, 8) and the slope (m), 0, substitute x1 = -2, y1 = 8 and m = 0 in
`y - y_1 = m(x - x_1)`.

Thus:

`y - 8 = 0(x - (-2))`

`y - 8 = 0`

Rewrite in slope-intercept form

`y - 8 + 8 = 0 + 8` (addition property of equality)

`y = 8`