Question

write an equation of a line that satifies the following conditions: passes through (-1,-7) and (1,3)

Answer 1

Use the point slope formula

Answer 2

and the slope form

Answer 3

use slope formula to find the slope \[\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\]

Answer 4

soslope: \[\frac{ 3- -7 }{ 1- -1 }=5\]

Answer 5

Now point slope formula: y – y1 = m(x – x1), so y--7=5(x-1) = y=5x-12

Answer 6

\[y=5x-12\]

Answer 7

is the equation of the line :)