Question

1) Write an equation in point slope form

that passes through the point (1, 2) & slope
of -5

Answer 1

y - 2 = -5 (x - 1)

Explanation:

Formula for point-slope equation :

y - y₁ = m (x - x₁)

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Given :

⇒ Point (x₁, y₁) = (1, 2)

⇒ Slope (m) = -5

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Solving :

⇒ y - 2 = -5 (x - 1)

Answer 2

`\qquad\qquad\huge\underline{{\sf Answer}}`

Equation of line can be written in point - slope form as :

`\qquad \sf  \dashrightarrow \:y - y_1 = m(x - x_1)`

• y1 = y - coordinate of point = 2

• x1 = x - coordinate of point = 1

• m = slope = -5

So, required equation is ~

`\qquad \sf  \dashrightarrow \:y - 2 = - 5(x - 1)`