Question

Complete the point-slope equation of the line through (1,3)(1,3)left parenthesis, 1, comma, 3, right parenthesis and (5,1)(5,1)left parenthesis, 5, comma, 1, right parenthesis. Use exact numbers. Y-3=y−3=y, minus, 3, equals

Answer 1

Answer:

y - 3 = -1/2(x-1)

Step-by-step explanation:

Given the coordinates (1, 3) and (5,1). The point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the required point

Get the slope

m = 1-3/5-1

m = -2/4

m = -1/2

Using the point (1,3), substitute

y - 3 = -1/2(x-1)

2(y-3) = -(x-1)

Hence the required equation is y - 3 = -1/2(x-1)