Answer: Slope: 3, Y-intercept: 3/2
Step-by-step explanation:
x y
-1 -3/2
-1/2 0
0 3/2
1/2 3
Since we are given an x,y table, we can easily spot the y-intercept. The y-intercept has the x value of 0. Therefore, the y-intercept is 3/2.
Now, we can use the formula [tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex] to find the slope.
[tex]m=\frac{\frac{3}{2} -0}{0-(-\frac{1}{2})}[/tex]
[tex]m=\frac{\frac{3}{2} }{\frac{1}{2} } =\frac{3}{2} *2=3[/tex]
Slope: 3
Y-intercept: 3/2
