Answer:
Slope: [tex]m=4[/tex]
y-intercept: [tex]b=-1[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
The slope can be found with the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
In this case you can say that:
[tex]y_2=-5\\y_1=11\\\\x_2=-1\\x_1=3[/tex]
Knowing this values you can substitute them into the formula and then evaluate, in order to find the slope. This is:
[tex]m=\frac{-5-11}{-1-3}\\\\m=\frac{-16}{-4}\\\\m=4[/tex]
By definition, the line intersects the y-axis when the value of "x" is 0.
Notice in the table that when [tex]x=0[/tex], [tex]y=-1[/tex]
Therefore, the y-intercept is:
[tex]b=-1[/tex]
