Find equation of line a line that is parellel to the graph of 2x+3y=5 and contains the point (3,-1)

Step-by-step explanation:

2x +3y= 5

3y= -2x +5

Divide both sides by 3:

Now that the equation is in the slope-intercept form (y= mx +c), the slope of the given line is the coefficient of x.

Parallel lines have the same slope.

Slope of unknown line= -⅔

y= -⅔ +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= 3, y= -1,

-1= -2 +c

c= -1 +2

c= 1

Thus, the equation of the line is y= -⅔x +1.

sss (side, side, side)

sas (side, angle, side)

asa (angle, side, angle)

aas (angle, angle, side)

hl (hypotenuse, leg)

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.