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

Answer:

A

Step-by-step explanation:

Answer 2

Answer:

Option 1

Step-by-step 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 $\frac{3}{2}$  and we substitute.

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

We can simplify the equation to slope intercept form.

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