Which line is parallel to the line given below? y= -4/3x + 1

Question

asked Mar 12, 2020 59.3k views

2 Answers

JustAPup · Answer 1 · 2020-03-19T00:30:42+0000

Answer:

The line which is parallel to the given line
$y=-(\bf 4)/(\bf 3)x+{\bf 1}$ is
$y=-(\bf 4)/(\bf 3)x+{\bf 2}$

Explanation:

Given that the equation of the line is

$y=-(4)/(3)x+1\hfill (1)$

To find the equation of the line is parallel to the given line equation.

We know that the given equation is in the slope intercept form

y=mx+c where m is the slope and c is the intercept.

Compare with given equation(1) we get

m=-(4)/(3) and c=1

Now change the y intercept c=1 to a intercept of c= 2

Therefore (1) becomes

y=-(4)/(3)x+2

The above equation of the line is the parallel line to the given equation of the line