Answer:
[tex]y=\frac{-3}{4} x+2[/tex]
Step-by-step explanation:
First, we can find the slope using the slope equation and two of the points.
Slope equation:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
I'm going to use the first two points just so I can avoid the fraction... Substitute the x and y values into the equation.
[tex]m=\frac{2-5}{0--4}[/tex]
Simplify:
[tex]m=\frac{-3}{4}[/tex]
Now that we have the slope, all we need is the y-intercept. Luckily, it gives it to us in the table. The x value of y-intercepts will always be 0. Looking at the table, we see that the point where x=0 is (0,2). Thus, the y-intercept is 2. Your final equation is
[tex]y=\frac{-3}{4} x+2[/tex]
