Question

Use an equation to find the value of k so that the line that passes through (k,4) and (3,-2) has a slope of m=-1

K=

Answer 1

ANSWER -

To find the value of k, we can use the slope-point form of a line, which is y-y1=m(x-x1), where m is the slope, (x1,y1) is a point on the line, and (x,y) are the coordinates of any other point on the line.

First, we'll find the slope m=-1 by using the two points:

m = (y2-y1)/(x2-x1) = (-2-4)/(3-k) = -1

Expanding the numerator, we get:

-6/(3-k) = -1

So,

-6 = -1 * (3-k)

Expanding the right side, we get:

-6 = -3 + k

Adding 3 to both sides, we get:

-3 = k

Therefore, the value of k that satisfies the equation is -3.