Question

(10,1)(-10,3) what is the linear equation

Answer 1

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:

$m\text{ = }\frac{y_2-y_1}{x_2-x_1}$$\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}$

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