Answer: 0 = 5x - 2y - 2
Step-by-step explanation:
Need to find the slope (m) from the parallel line, which has the same slope.
Slope: 5x - 2y = 4 --> 5x - 4 = 2y --> [tex]\frac{5}{2}x - 2 = y[/tex] --> m = [tex]\frac{5}{2}[/tex]
Point-Slope: y - y₁ = m(x - x₁) --> m = [tex]\frac{5}{2}[/tex], (x₁, y₁) = (2, 4)
y - 4 = [tex]\frac{5}{2}[/tex](x - 2)
y - 4 = [tex]\frac{5}{2}x[/tex]- 5
-y +4 -y + 4
0 = [tex]\frac{5}{2}x[/tex] - y - 1
2(0 = [tex]\frac{5}{2}x[/tex] - y - 1)
0 = 5x - 2y - 2
