A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form. (1 , 1/2), (3, 2)
A) y + 1/2 = 3/4 ( x + 1 ) ; y = 3/4x + 1/4
B) y − 1/2 = 3 ( x − 1 ) ; y = 3x − 1/4
C) y − 1/2 = 3/4 ( x − 1 ) ; y = 3/4x − 1/4

Respuesta :

Answer:  C

Step-by-step explanation:

Find Slope first

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{2-.5}{3-1}[/tex]

[tex]m=1.5/2\\m=3/4[/tex]

Slope is 3/4

Chose a point to put in point slope form

(1,1/2)

y − y1 = m(x − x1)

[tex]y-\frac{1}{2} =\frac{3}{4} (x-1)[/tex]

[tex]y-\frac{1}{2} = \frac{3}{4}x-\frac{3}{4}[/tex]

add 1/2 to both side

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