Question

Complete the point-slope equation of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis. Use exact numbers. y-(-1)=y−(−1)=y, minus, left parenthesis, minus, 1, right parenthesis, equals

Answer 1

y+1 = 3/4(x-1)

Explanation:

Given the coordinates of a line, (1, -1) and (5, 2), we are to find the equation of the line in point-slope form.

The point slope form of the equation is generally expressed as;

y -y0 = m(x-x0)

m is the slope

(x0, y0) is the point

Get the slope first;

m = y2-y1/x2-x1

m = 2-(-1)/5-1

m = 3/4

Substitute any of the point sat=y (1, -1) and m = 3/4 into the point slope form of the equation

y - (-1) = 3/4 (x-1)

y+1 = 3/4(x-1)

Hence the required equation is y+1 = 3/4(x-1)