Write the slope of each of the line stated below.
(i) y $-$ 5 = 2 (x $-$ 7)
(ii) y $-$ 2 = 5(x $-$ 2)
(iii) y + 3 = $\frac{1}{2}$ (x $-$ 5)
(iv) y = $-$ 5 (x + 3)
(v) 3(x + 3) = y $-$ 1

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Solution

(i) The given equation of the line is y $-$ 5 = 2 (x $-$ 7).
On comparing the given equation with y $-$ y₁ = m (x $-$ x₁), we get:
Slope, m = 2

(ii) The given equation of the line is y $-$ 2 = 5(x $-$ 2).
On comparing the given equation with y $-$ y₁ = m(x $-$ x₁), we get:
Slope, m = 5

(iii) The given equation of the line is y + 3 = $\frac{1}{2}$ (x $-$ 5).
On comparing the given equation with y $-$ y₁ = m(x $-$ x₁), we get:
Slope, m = $\frac{1}{2}$

(iv) The given equation of the line is y = $-$ 5 (x + 3) or y $-$ 0 = $-$ 5 (x + 3).
On comparing the given equation with y $-$ y₁ = m(x $-$ x₁), we get:
Slope, m = $-$ 5

(v) Given equation of line is 3(x + 3) = y $-$ 1 or y $-$ 1 = 3(x + 3).
On comparing the given equation with y $-$ y₁ = m(x $-$ x₁), we get:
Slope, m = 3

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y - 2 = 5 (x - 2)

Determine the degree of each of the following polynomials.

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(ii) $y^{2} (y - y^{3})$

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5 x + 2 z - 8 = 0

2 x - y + z - 3 = 0

3 x + y + z = 5

2 x - y - 5 z - 3 = 0

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5 x = \frac{7}{2}

y = \frac{3}{2} x

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