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

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Answer 1 · 2016-09-16T17:11:23

The slope $(Deltay)/(Delta x )= -13/29$

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 $(y_1-y_2)/(x_1-x_2)$

This gives

$( -7+20)/(-21-8)$ Subtracting a negative from a negative gives +20

$13/-29$ Dividing a positive by a negative = a negative

$-13/29$ = the slope.

What is the slope of the line passing through the following points: (-3/4, -1/4) , (2/7, -5/7)(−34,−14),(27,−57) (-3/4, -1/4) , (2/7, -5/7)?