Answer:
-8
Step-by-step explanation:
Convert the equation from standard form into slope-intercept form by....
- Moving the variable to the right-hand side and change its sign: 6y = 10 - 4x
- Divide both sides of the equation by 6 : y= [tex]\frac{5}{3}[/tex]-[tex]\frac{2}{3}[/tex]x
- Use the commutavie property to reoder the terms : y= -[tex]\frac{2}{3}[/tex]x + [tex]\frac{5}{3}[/tex]
(Parallel lines have the same slope.. so the slope = -[tex]\frac{2}{3}[/tex])
Create and equation using the slope and the point (k,7)
- Make the equation : 7 = -[tex]\frac{2}{3}[/tex](k) + [tex]\frac{5}{3}[/tex]
- Multiply both sides of the equation by 3 : 21 = -2k + 5
- Move the varable to the left-hand side and change its sign: 2k + 21 = 5
- Move the constant to the right-hand side and change its sign: 2k + 5 - 21
- Calculate the difference: 2k = -16
- Divide both sides of the equation by 2 : k= -8
Solution : k = -8
