How do you write an equation in point-slope form of the line that passes through the given points (-1,-8),(4,-6)?
2 Answers
Explanation:
#"the equation of a line in "color(blue)"point-slope form"# is.
#color(red)(bar(ul(|color(white)(2/2)color(black)(y-y_1=m(x-x_1))color(white)(2/2)|)))#
#"where m is the slope and "(x_1,y_1)" a point on the line"#
#"calculate m using the "color(blue)"gradient formula"#
#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#
#"let "(x_1,y_1)=(-1,-8)" and "(x_2,y_2)=(4,-6)#
#rArrm=(-6-(-8))/(4-(-1))=2/5#
#"using "m=2/5" and "(x_1,y_1)=(-1,-8)#
#y-(-8)=2/5(x-(-1))#
#rArry+8=2/5(x+1)larrcolor(red)"in point-slope form"#
Explanation:
Hey!
Well firstly, we know the point-slope form equation:
Next, we need to input the values that we are given in the question, in this case (-1,-8), (4,-6). To start, let's solve for m, or slope.
Inputting variables:
Finally, we input the slope value and one of the given points for the
Good luck!