The equation of a straight line can be written if its slope and any one point lying on it is given. The equation of the line for given slope and point is (y - 3) = -1 / 7 × (x - 3). The correct answer is option B.
What is the equation for a straight line?
A straight line can be written in the form of equation as, y = mx + c.
Two straight lines intersect each other only at one point.
When two straight lines are parallel to each other the angle between them is zero.
Given that,
The slope of the line = -1 / 7
The coordinate of the point on the line = (3,3)
The equation of a line having slope m and passing through a point (x₁, y₁) is given as,
(y - y₁) / (x - x₁) = m
Thus, the equation of the line for given slope and point is given as,
(y - 3) / (x - 3) = -1 / 7
=> (y - 3) = -1 / 7 × (x - 3)
Hence, the equation of the line for given slope and point is (y - 3) = -1 / 7 × (x - 3).
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