What is the slope of the line passing through the following points:  (-3/4, -1/4) , (2/7, -5/7)?

1 Answer
Sep 16, 2016

The slope $\frac{\Delta y}{\Delta x} = - \frac{13}{29}$

Explanation:

Finding the slope is the change in y divided by the change in x

The fractions with different denominators makes this a difficult problem.

To make the problem easier multiple all the fractions by the least common denominator to make the fractions disappear.

Multiplying by the least common denominator looks like this.

 {28 xx (-1/4 - (-5/7))} /{ 28 xx ( -3/4 - 2/7 }  This is $\frac{{y}_{1} - {y}_{2}}{{x}_{1} - {x}_{2}}$

This gives

$\frac{- 7 + 20}{- 21 - 8}$ Subtracting a negative from a negative gives +20

$\frac{13}{-} 29$ Dividing a positive by a negative = a negative

$- \frac{13}{29}$ = the slope.