Question

Find the slope of a line that passes through (-2,-3) and (1,1)

A.) 1/3
B.) 1
C.) 2

Answer 1

I hope this helps you




(-2,-3) x'= -2 y'= -3



(1,1) x"=1 y"=1


slope. (x'-x")= y'-y"



slope. (-2-1)=-3-1



slope. -3 = -4


slope = 4/3

Answer 2

Answer: 4\3

Step-by-step explanation: Equation of line passing through (x1,y1) and (x2,y2) is given by

y-y1=
`(y2-y1)/(x2-x1) (x-x1)`

here x1=-2,y1=-3,x2=1 and y2=1

⇒ y+3=
`(1+3)/(1+2) (x+2)`

⇒ y+3=4(x+2)\3

⇒ y=4x\3 - 1\3

slope of line y=mx+c is equal to m

so slope=4\3