A line has the slope of 7 and includes the points (-4,-2) and (-5,k). what is the value of k? k=

Question

asked Sep 4, 2019 78.4k views

1 Answer

Iedmrc · Answer 1 · 2019-09-09T10:01:16+0000

If slope ofthe line is m=7, then the equation of the line is

y=7x+b.

Since line passes through the point (-4,-2), its coordinates satisfy the equation of the line:

$-2=7\cdot (-4)+b,\\ \\b=-2+28=26.$

The equation of the line is

y=7x+26.

Point (-5,k) lies on the line, then its coordinates satisfy the line equation:

$k=7\cdot (-5)+26=-35+26=-9.$

Answer: k=-9.