Question

what is the slope of this line and can you pls explain

Answer 1

$\large\underline{\sf{Solution-}}$

From the graph we concluded that line passes through the points (4, 0) and (0, 2) respectively.

We know,

Slope of a line joining two points (a, b) and (c, d) is given by

$\boxed{\tt{ \: Slope, \: m \: = \: \frac{d - b}{c - a} \: }}$

So, here

$\rm \: a = 4$

$\rm \: b = 0$

$\rm \: c = 0$

$\rm \: d = 2$

So, on substituting the values, we get

$\rm \: \: Slope, \: m \: = \: \frac{2 - 0}{0 - 4} \:$

$\rm \: \: Slope, \: m \: = \: \frac{2}{ - 4} \:$

$\rm\implies \:\rm \: \: Slope, \: m \: = \: - \: \frac{1}{2} \:$

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ADDITIONAL INFORMATION

1. Slope of a line is defined as tangent of the angle which a line makes with the positive direction of x - axis and represented by the symbol m.

2. If line makes acute angle with x - axis, then m > 0

3. If line makes obtuse angle with x - axis, then m < 0

4. If line is parallel to x - axis or it self x - axis, then m = 0

5. If line is parallel to y - axis or it self y - axis, then m is not defined.

6. Two lines having slope m and M are perpendicular iff Mm = - 1

7. Two lines having slope m and M are parallel iff m = M.

Answer 2

Answer:

=> Slope, m = - 1/2

Step-by-step explanation:

We know,

Slope of a line joining two points (a,b) and (c,d) is given by

[ Slope, m = d-b/c-a ]

So, here

A = 4

B = 0

C = 0

D = 2

So, on substituting the values, we get

Slope, m = 2-0/0-4

Slope, m = 2/-4

$\leadsto \rm \bold{ \boxed{ \rm \: slope,\: \: \: m \: = - \frac{1}{2} }}$