Find the value of k that makes the line through (-4,k) and (-1,2k) have y-intercept (0,-7).

assuolareuz

assuolareuz

Answered question

2022-08-05

Find the value of k that makes the line through (-4,k) and (-1,2k) have y-intercept (0,-7).

Answer & Explanation

Royce Morrison

Royce Morrison

Beginner2022-08-06Added 12 answers

Given points
( x 1 , y 1 ) = ( 4 , k ) ( x 2 , y 2 ) = ( 1 , 2 k )
y intercept = b = -7
substitute given values and solve for slope .
Slope = m = y 2 y 1 x 2 x 1 Slope = m = 2 k k 1 ( 4 ) Slope = m = k 3
Equation of line will be
y = m x + b
substitute (x,y)=(-4,k)
b=-7
m=k/3 and solve for k
k = k 3 4 + ( 7 ) k = 4 k 3 7 7 = 4 k 3 k 7 = 4 k 3 k 3 21 = 7 k
Divide by -7,
21 7 = 7 k 7 3 = k
Answer: k=-3

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