which equation represents a line that passes through (2, –1/2) and has a slope of 3? y – 2 = 3(x 1/2 ) y – 3 = 2(x 1/2 ) y =1/2 3(x – 2) y 1/2 = 2(x – 3)
Mathematics · High School · Wed Jan 13 2021
llm
Answered on
Given:
(2, -½)
x1 = 2
y1 = -½
m = 3
Determine the equation of the line.
The equation of the line can be written in point-slope form:
y - y1 = m(x - x1)
Solution:
Substitute the given values of x1, y1 and m to the equation of point-slope form.
y -(-½) = 3 ( x - 2)
y + ½ =3 (x - 2)
Final answer:
y + ½ =3 (x - 2)