Question

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

Answer 1

A

Explanation:

Answer 2

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)`