Simplify.
2 answers:
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Answer:
The missing co-ordinate is: (-1,).
Step-by-step explanation:
Given the slope of a line and a point on it, we determine the equation of the line by slope - one point form.
Slope - one point form: (y - y₁) = m(x - x₁)
Where, (x₁,y₁) is the point passing through the line.
Here the slope is and the point (x₁,y₁) = (4,7).
Therefore the equation would be:
y - 7 = (x - 4)
⇒ 3y - 21 = -2x + 8
⇒ 2x + 3y - 29 = 0 is the equation of the line.
Now it is given that (-1,y) also passes through the line, this point should satisfy the equation.
⇒ 2(-1) +3y = 29
⇒ 3y = 31 i.e., y =
Therefore, the missing co-ordinate is: (-1,).