What is the point slope form of the equation (-6,6), (3,3)?
2 Answers
see below.
Explanation:
First, we need to find gradient of slope that cross between
According to "http://www.purplemath.com/modules/strtlneq2.htm", the point slope form is
From above, using
How about second point? It produce same answer as equation that using the first points.
Explanation:
#"the equation of a line in "color(blue)"point-slope form"# is.
#•color(white)(x)y-y_1=m(x-x_1)#
#"where m is the slope and "(x_1,y_1)" a point on the line"#
#"to calculate m use the "color(blue)"gradient formula"#
#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#
#"let "(x_1,y_1)=(-6,6)" and "(x_2,y_2)=(3,3)#
#rArrm=(3-6)/(3-(-6))=(-3)/9=-1/3#
#"using "m=-1/3" and "(x_1,y_1)=(3,3)" then"#
#y-3=-1/3(x-3)larrcolor(red)"in point-slope form"#