1) Find the graph of a line passing through (-1, 4) and (2, 0).
The slope of two points can be determined by dividing the difference of y-values by the difference of x-values:

The slope of this equation is -4/3. Inputting this into the slope-intercept form of an equation, we get:

To find b, substitute x and y for one of the given coordinate pairs:
0 = (-4/3)(2) + b
0 = -8/3 + b
8/3 = b
Substitute the b value into the equation to finish the line:

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ANSWER
y = 2/3x + 15
Explanation:
Equation used: y - y1 = m( x - x1 )
y - 9 = 2/3 ( x - -9 )
y - 9 = 2/3x + 6 ( distribution )
y - 9 = 2/3x + 6 ( add 9 to 6 )
y = 2/3x + 15