Question

A line passes through the point negative four comma one and has a slope of two-thirds. If you use this slope to generate another point on the line, what are the coordinates of that point?

negative one comma three

negative two comma four

negative twelve comma two

negative eight comma three

Answer 1

the slope between two points (x1,y1) and (x2,y2) is
\[m = \frac{ y2-y1 }{ x2 - x1 }\]

here you have the point (-4,1) and slope 2/3
suppose the point we want to find is (x,y)
so you have
\[\frac{ 2 }{ 3 } = \frac{ y - 1 }{ x+4 }\]

Answer 2

now try replacing the coordinates of the point of each choice and check them

Answer 3

are you able to solve it now ?