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.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )