What is the equation of the line passing through $(60,16)$ and $(18,26)$ ?

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Answer 1 · 2018-06-07T14:30:41

$(y-16) = -5/21(x-60)$

First you determine the slope:

$(color(blue)(x_1),color(blue)(y_1)) = (60,16)$

$(color(red)(x_2),color(red)(y_2))=(18,26)$

$color(green)m =(color(red)(y_2)-color(blue)(y_1))/(color(red)(x_2)-color(blue)(x_1))$

$color(green)m =(color(red)(26)-color(blue)(16))/(color(red)(18)-color(blue)(60))=-5/21$

Now use the Point Slope form of a line:

$(y-color(blue)(y_1)) = color(green)m(x-color(blue)(x_1))$

$(y-color(blue)(16)) = color(green)(-5/21)(x-color(blue)(60))$

graph{(y-16) = -5/21(x-60) [-67, 93, -0.96, 79.04]}

What is the equation of the line passing through (60,16)(60,16) and (18,26)(18,26)?