find the value of K so that the line through the points (4,-3) and(k,7) is parallel to the line with the equation 4x+6y=10

-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 - 4xDivide both sides of the equation by 6 : y= -xUse the commutavie property to reoder the terms : y= -x +

(Parallel lines have the same slope.. so the slope = -)

Create and equation using the slope and the point (k,7)

Make the equation : 7 = -(k) + Multiply both sides of the equation by 3 : 21 = -2k + 5Move the varable to the left-hand side and change its sign: 2k + 21 = 5Move the constant to the right-hand side and change its sign: 2k + 5 - 21Calculate the difference: 2k = -16Divide both sides of the equation by 2 : k= -8

Solution :  k = -8