Question

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Answer 1

y = 1/2 x+4

Explanation:

Slope intercept form is y = mx+b, where m equals the slope and b is the y-intercept.

The slope can be calculated using the formula
`m = (y_(1)-y_(2) )/(x_(1)-x_(2) )`.

I'll be plugging in (2,5) and (4,6) to calculate the slope.

m = (6-5)/(4-2) = 1/2

The y-intercept is the y-coordinate of where the line meets the y-axis. In the graph, you can see that the line intersects with the y-axis at (0,4). The y-coordinate of (0,4) is 4, so therefore it is the y-intercept.

Plugin m = 1/2 and b = 4 into the slope-intercept formula (y = mx+b), and you get y = 1/2 x+4