Question

Use an equation to find the value of k so that the line that passes through (-4, k)(−4, k)​ and (6, −7)​ has a slope of m= -1/5.

Answer 1

k=-5

Explanation:

To find the value of k, start by using the known information we have in the equation for slope. The equation is below.

m(slope) = (y2 - y1)/(x2 - x1)

In this equation, the first ordered pair would be (x1, y1) and the second would be (x2 , y2). So we put the values in for these variables and we get.

-1/5 = (-7 - k)/(6 + 4)

-1/5 = (-7 - k)/10

-1/5 = (-7 - k)/10

-1*10 = 5(-7 - k)

-10 = -35 - 5k

25 = -5k

-5 = k

Answer 2

The value of k is -5.

Explanation:

To find the value of k, start by using the known information we have in the equation for slope. The equation is below.

m(slope) = (y2 - y1)/(x2 - x1)

In this equation, the first ordered pair would be (x1, y1) and the second would be (x2 , y2). So we put the values in for these variables and we get.

-1/5 = (-7 - k)/(6 + 4)

-1/5 = (-7 - k)/10

Now we can use cross multiplication to solve for k.

-1/5 = (-7 - k)/10

-1*10 = 5(-7 - k)

-10 = -35 - 5k

25 = -5k

-5 = k