Lines a and b are parallel. Line a is described by the equation 3x - 7y = 21. Line b passes through the point (-2,3).
Which equation represents line b?

 The equation   3x - 7y = -27    or 7y = 3x +27  represents line b

y = ³/₇x +  ²⁷/₇  also represents line b using originally calculated fractions.

The attachment shows the graphs of the lines.

Step-by-step explanation:

I find it easier to work with equations in slope-intercept form, y = mx + b, so the equation 3x -7y = 21 becomes -7y = -3x + 21  then y = 3/7 x - 3

Substitute the values of the coordinate given (-2,3) for y and x in the equation and solve for b.

3 = 3/7(-2) + b

3 = -6/7 + b  Add  6/7 to both sides

3 + 6/7 = b   You can leave 3⁶/₇ as the slope or chamge toan improper fraction

²⁷/₇ = b

Rewrite the equation with the original slope and the calculated value of b

y = ³/₇x -  ²⁷/₇

as both denominators are 7, the equation can be simplified to

7y = 3x +27 or to standard form

3x - 7y = -27

the answer is 96 degrees

step-by-step explanation:

you have to realize that a line equals 180 degrees

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.