What is a parallel line to equation y=3/2x - 3 and passes throug point (1, 2)? 4 choices 1) y=3/2x + 1/2 2) y= 2/3x + 4/3 3) y=3/2x - 2 4) y= -2/3x + 8/3

Question

asked Aug 10, 2020 32.2k views

2 Answers

AnjaM · Answer 1 · 2020-08-15T18:03:52+0000

Answer:

Option 1

Explanation:

The point slope form of a line is
(y-y_1)=m(x-x_1) where
$x_1=1\\y_1=2$ . We write

(y-2)=m(x-1)

We know m the slope is parallel to the line. Since it is parallel, the slope must be the same so m is
(3)/(2) and we substitute.

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

We can simplify the equation to slope intercept form.

$(y-2)=(3)/(2)(x-1)\\y-2=(3)/(2)x-(3)/(2)\\y-2+2=(3)/(2)x-(3)/(2)+2\\y=(3)/(2)x-(1)/(2)$