Answer:
<h2>
3x + 5y = 12 </h2>
Step-by-step explanation:
3x + 5y = 7 {subtract 3x from both sides}
5y = -3x + 7 {divide both sides by 5}
y = -³/₅x + ⁷/₅ ← slope-intercept form
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = -³/₅x + ⁷/₅ ⇒ m₁ = -³/₅ ⇒ m₂ = -³/₅
(-1, 3) ⇒ x₁ = -1, y₁ = 3
The point-slope form:
y - 3 = -³/₅(x - (-1))
y - 3 = -³/₅(x + 1) {myltiply both sides by 5}
5y - 15 = -3x - 3 {add 3x to both sides}
3x + 5y - 15 = - 3 {add 15 to both sides}
<u>3x + 5y = 12</u>
