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:
[tex] \frac{4-0}{-1-2} =\frac{4}{-3} [/tex]
The slope of this equation is -4/3. Inputting this into the slope-intercept form of an equation, we get:
[tex] y=\frac{-4}{3} x+b [/tex]
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:
[tex] y=\frac{-4}{3} x+\frac{8}{3} [/tex]
