y = -1/10 + 2
Explanation:To get equation of line: y = mx + c
m = slope
We will use the two points to find the slope
slope formula:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex][tex]\begin{gathered} x_1=10,y_1=1,x_2=-10,y_2\text{ = }3 \\ m=\frac{3-1}{-10-10}=\frac{2}{-20}=\frac{-2}{20} \\ m\text{ = }-\frac{1}{10} \end{gathered}[/tex]To get c, we need to use one of the points given:
Using point (10, 1) = (x, y)
1 = -1/10 (10) + c
1 = -1 + c
c = 1+1
c = 2
The linear equation becomes:
y = -1/10 + 2