Answer:
Slope: -2/1
Y-intercept: (0,0)
Step-by-step explanation:
The equation for slope is:
[tex]Slope = \frac{y_2-y_1}{x_2-x_1}[/tex]
We can plug in any x, y pairs from the table into the equation. For this, let's use (-5, 10) and (-3, 6)
[tex]Slope = \frac{6-10}{-3-(-5)}=\frac{-4}{-3+5}=\frac{-4}{2}=\frac{-2}{1}[/tex]
The equation for a line is...
y=mx+b
m: slope
b: y-intercept
We can plug in a x, y pair and the slope into the equation to solve for the y-intercept:
y=mx+b
10=(-2)(-5)+b
10=10+b
b=0
Therefore the y-intercept is (0,0)
