Which equation represents a line that passes through (2, –left-parenthesis 2, negative StartFraction one-half EndFraction right-parenthesis.) and has a slope of 3?

y – 2 = 3(x + y minus 3 equals 2 left-parenthesis x plus StartFraction one-half EndFraction right-parenthesis.)
y – 3 = 2(x + y minus 3 equals 2 left-parenthesis x plus StartFraction one-half EndFraction right-parenthesis.)
y + y plus StartFraction one-half EndFraction equals 3 left-parenthesis x minus 2 right-parenthesis. = 3(x – 2)
y + y plus StartFraction one-half EndFraction equals 2 left-parenthesis x minus 3 right-parenthesis. = 2(x – 3)\

Respuesta :

The distance between two points is a line. The equation of the line is y = 3x - 8

Equation of a line

The equation of a line in slope - intercept form is given as;

y = mx + b

where

m is the slope

b is the intercept

Given the following

slope 'm' = 3

Determine the y-intercept

-2= 3(2) + b

-2 = 6 + b

b = -8

Determine the equation

y = 3x + (-8)

y = 3x - 8

Hence the equation of the line is y = 3x - 8

Learn more on equation of a line here; https://brainly.com/question/11602229

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