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The points (4,r) and (6,-10) lie on a line with slope -3. Find the missing coordinate r.My question: Does it matter how I use the slope formula, such as y2-y1/x2-x1?

The Points 4r And 610 Lie On A Line With Slope 3 Find The Missing Coordinate RMy Question Does It Matter How I Use The Slope Formula Such As Y2y1x2x1 class=

Sagot :

ANSWER

r = -4

EXPLANATION

The formula for a slope of a line that passes through points (x1, y1) and (x2, y2) is:

[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]

The order of the points doesn't matter as long as you write both coordinates of the same point first (or second). The formula above is the same as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

With this in mind, we can find r with either of the forms of the formula:

[tex]-3=\frac{-10-r}{6-4}=\frac{r-(-10)}{4-6}[/tex]

Using the first one:

[tex]\begin{gathered} -3=\frac{-10-r}{2} \\ -3\cdot2=-10-r \\ -6=-10-r \\ 10-6=-r \\ 4=-r \\ r=-4 \end{gathered}[/tex]

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