Question

((-5, 2) and (3, - 2) find the equation of a straight line passing through the points
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Answer 1

Answer: y = -1/2x - 1/2

Step-by-step explanation:

equation of a straight line: y = mx + c

m is the slope

c is the y-intercept

to find the slope (m): y2 - y1 / x2 - x1

y2 = -2

y1 = 2

x2 = 3

x1 = -5

m = -2 -2/3- (-5)

m = -4/8

m = -1/2

substitute m into the equation of a line (y = mx + c)

y = -1/2x + c

substitute any of the two x and y coordinates to solve for c

in this case we will take (3, -2)

-2 = -1/2 (3) + c

-2 = -3/2 + c

-2+3/2 = c

c = -1/2

substitute c into the equation of a line (y = mx + c)

ans: y = -1/2x - 1/2