Question

write in point-slope form an equation of the line through each pair of points. (-2,3) and (2,9)

Answer 1

To start out, you'll want to get the slope of this line. The slope of the line between two points is equal to the difference in their y values divided by the difference in their x values:
\[m=\frac{ \Delta y }{ \Delta x }=\frac{ y_1 - y_2 }{ x_1 - x_2 }\]

Answer 2

ok then plug into the point slope formula.

Answer 3

Right. Once you get the slope, you can plug into the equation:
\[y-y_1=m(x-x_1)\]Where m is the slope of the line, and x_1,y_1 are the coordinates of any point on the line.

Answer 4

ok thx.

Answer 5

No problem, glad I could help