Question

What is the slope of the line passing through the points (−3, −5) and (−1, −6)?

−4/3

−1/2

1/2

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Answer 1

-1/2

Explanation:

m=(y2-y1)/(x2-x1)

m=(-6-(-5))/(-1-(-3))

m=(-6+5)/(-1+3)

m=-1/2

Answer 2

The slope of the line passing through the points (−3, −5) and (−1, −6) is
`-( 1 )/( 2 )` (-0.5)

Explanation:

Equation of a straight line:

y = mx + b where m is the slope and b is the y-intercept

(x1, x2) and (y1, y2) : (−3, −5) and (−1, −6)

Calculating Slope (m).

m =
`(y_(2) - y_(1))/(x_(2) - x_(1))`

m =
`( (-6) - (-5) )/( (-1) - (-3) )`

m =
`( -6 + 5 )/( -1 + 3 )`

m =
`-( 1 )/( 2 )`

we can take this a step further by finding the equation:

Now putting value of m in equation (i)

y = -0.5x + b

Calculating Y-intercept (b).

Lets choose the first point, (-3,-5) for calculating y-intercept:

y = mx + b

-5 = -0.5(-3) + b

-5 = 1.5 + b

-6.5 = b

b = -6.5

Now putting value of b in equation

y = -0.5x + -6.5