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

Explanation:

Find Slope first

`m=(y2-y1)/(x2-x1)`

`m=(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-(1)/(2) =(3)/(4) (x-1)`

`y-(1)/(2) = (3)/(4)x-(3)/(4)`

add 1/2 to both side