Question

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

Answer 1

Answer:  C

Step-by-step explanation:

Find Slope first

$m=\frac{y2-y1}{x2-x1}$

$m=\frac{2-.5}{3-1}$

$m=1.5/2\\m=3/4$

Slope is 3/4

Chose a point to put in point slope form

(1,1/2)

y − y1 = m(x − x1)

$y-\frac{1}{2} =\frac{3}{4} (x-1)$

$y-\frac{1}{2} = \frac{3}{4}x-\frac{3}{4}$

add 1/2 to both side