Answer
Table: Slope = -.75 = -$\frac{3}{4}$
x y
0 .5
1 -.25
2 -1
3 -1.75
Work Step by Step
Using the function f(x) = $\frac{1}{2}$ - $\frac{3}{4}x$ plug in a value of x to calculate corresponding values of y. To graph the function, plot the x and y values on a coordinate grid. In this case, as we can tell from the graph (as x increases by 1, y decreases by $\frac{3}{4}$) the slope is -$\frac{3}{4}$. Additionally, a = -$\frac{3}{4}$ which confirms that the slope is, in fact, -$\frac{3}{4}$. To confirm that a = -.75 rewrite the function: f(x) = $-\frac{3}{4}x$ + $\frac{1}{2}$
