Answer:
x = 10
Step-by-step explanation:
Parallel lines have equal slopes.
calculate the slope of the line containing the 2 points and equate to - 3
using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (x, 5 ) and (x₂, y₂ ) = (7, 14 )
m = [tex]\frac{14-5}{7-x}[/tex] = [tex]\frac{9}{7-x}[/tex]
Equating m to - 3
[tex]\frac{9}{7-x}[/tex] = - 3 ← multiply both sides by 7 - x to clear the fraction
9 = - 3(7 - x) ( divide both sides by - 3 )
- 3 = 7 - x ( subtract 7 from both sides )
- 10 = - x ( multiply both sides by - 1 ) , then
x = 10
