Question

The graph of a line passes through the two points below
(2,-4);(-3,1)
Which of these can be used to determine the slope of the line

Answer 1

The expression that can be used to determine the slope of the line is (1 + 4)/(-3 - 2)

What are slopes?

The slope of a line is the gradient  or the average rate of change of the line or a line equation

Note that linear equations are equations that have constant average rates of change, slope or gradient

How to determine the slopes?

The two points are given as

(2,-4);(-3,1)

The slope of a line is calculated using

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

Substitute the coordinates of the points in the above equation

m = (1 + 4)/(-3 - 2)

Evaluate the numerator

m = 5/(-3 - 2)

Evaluate the denominator

m = 5/-5

Rewrite the quotient as

m = -5/5

Evaluate the quotient

m = -1

Hence, the expression that can be used to determine the slope of the line is (1 + 4)/(-3 - 2)

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