How do you write the equation in point slope form given (-3,-5) and (3,-15)?
2 Answers
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)=(-3,-5)" and "(x_2,y_2)=(3,-15)
rArrm=(-15-(-5))/(3-(-3))=(-10)/6=-5/3
"use either of the 2 given points for "(x_1,y_1)
"using "m=-5/3" and "(x_1,y_1)=(-3,-5)
y-(-5)=-5/3(x-(-3))
rArry+5=-5/3(x+3)larrcolor(red)"in point-slope form"
Explanation:
Point slope form is
First, find the slope by using
Then, choose one of the coordinate pairs (let's use
We get: