Answer: 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
