Question

determine equation of line passing through the points 3 1 5 -1

Answer 1

y = -x + 4

Explanation:

uisng equation of ;line: y = mx + b

m = slope, b = y-intercept

points: 3, 1 and 5, -1​

Slope formula:

$m\text{ = }\frac{y_2-y_1}{x_2-x_1}$$\begin{gathered} x_1=3,y_1=1,x_2=5,y_2\text{ = -1} \\ m\text{ = }\frac{-1-1}{5-3} \\ m\text{ = -2/2 = -1} \end{gathered}$

To get the y-intercept, we would pick any of the points:

using: (3, 1) = (x, y)

y = mx + b

1 = -1(3) + b

1 = -3 + b

1 + 3 = b

b = 4

The equation becomes:

y = -1(x) + 4

y = -x + 4