Question

Find an equation of the line containing the given pair of points. (-2,-2) and (1,1) The equation of the line is y = x (Simplify your answer. Type your answer in slope-intercept form. Use ir

Answer 1

slope intercept form of equation of a line is y=mx+c

here m is slope .

if (x₁.y₁) and (x₂,y₂) are two points on a line , then slope m is given by

$\large m=\frac{y_2-y_1}{x_2-x_1}$

this line pass through (-2,-2) and (1,1) . so slope ia

$\large m=\frac{1-^-2}{1-^-2}=1$

so y=x+c

apply (1,1) to equation and find c

1= 1+c

c=1-1=0 . so equation of line is

y = x