Answer:
slope = -3; y-intercept = 1/2
Step-by-step explanation:
A way to solve this problem would be to write equations based off of the answer choices on the right, plug the x and y values from the chart into those equations, and see if they are true.
Let's look at the third option choice. Given that the slope = -3 and the y-intercept is 1/2, we can write an equation using the slope-intercept format, y= mx + b, where m is the slope and b is the y-intercept. So, the equation for that would be y= -3x + 1/2.
Let's try plugging in some x and y values and testing if they are true. Let's take the point [tex](-1, 3\frac{1}{2} )[/tex] from the chart for example:
[tex](3\frac{1}{2}) = -3(-1) + \frac{1}{2} \\(3\frac{1}{2}) = 3 + \frac{1}{2} \\3\frac{1}{2}= 3\frac{1}{2}[/tex]
So, since [tex]3\frac{1}{2}[/tex] does equal to [tex]3\frac{1}{2}[/tex], it is true, making that the correct answer. You could plug in any other point from the chart to check, too - it's good to check multiple, but for the sake of brevity, I just put that as one example.
