Question

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Answer 1

Lines are described by equations of the form y = mx + b
The fast way of finding 'b' is to look for a place where x = 0 and plug in the x and y values into this equation. In the case of this line, when x = 0, y = 5:

5 = m(0) + b
5 = 0 + b
5 = b

To get the slope, 'm', we need to pick two points and divide the difference of their y values by the difference of their x values. Pick points where the line falls on the grid. The one we just used, (0,5), works well. So does (2,1).

Plug into the equation m = (y2-y1)/(x2-x1) to get m = (1-5)/(2-0) = -4/2 = -2

Our equation is y = -2x + 5