Slope = -2
y-intercept is 6
Explanation:
To get the slope, we pick any two points in the table and apply the slope formula:
Picking points: (-2, 10) and (1, 4)
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex][tex]\begin{gathered} x_1=-2,y_1=10,x_2=1,y_2\text{ = }4 \\ \text{slope = m = }\frac{4\text{ - 10}}{1\text{ - (-2)}} \\ \text{slope = }\frac{4\text{ - 10}}{1\text{ + 2}} \end{gathered}[/tex][tex]\begin{gathered} \text{slope = -6/3} \\ \text{slope = -2} \end{gathered}[/tex]
To get the y-intercept, we find the value of y when x = 0 on the table:
when x = 0, y = 6
Hence, the y-intercept is 6
