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

1 Answer
Jun 7, 2018

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

Explanation:

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]}