Question

Which line is parallel to y=2/3x+1 and passes through the point (1, 1)? a) y=2/3(x-1) b) y-1=-3/2(x-1) c) y-1=2/3(x-1) d) y=-3/2x-1

Answer 1

C

Explanation:

Answer 2

The answer is option C

Explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

Equation of original line is y = ⅔x + 1

Comparing with the general equation above

Slope = 2/3

Since the lines are parallel their slope are also the same

Slope of parallel line = 2/3

So the equation of the line using point

( 1,1) and slope 2/3 is

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

Hope this helps you