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

User Starpause
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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.

User Iedmrc
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