Write the standard form of the line that passes through the given points. Include your work in your final answer. (3, 1) and (-2, 3)

Answer 1

slope = (3-1)/(-2-3)= 2/-5 = -2/5 = m

y-1 = m(x-3)

y-1 = (-2/5)(x-3)

5y-5 =-2x +6

2x +5y = 11 is the equation through the two given points or

or 2x+5y -11 = 0 in standard ax+by + c = 0 form

but for standard slope intercept form

y = (-2/5)x + 6/5 + 1

y =(-2/5)x + 11/5 where -2/5 = slope and 11/5 = the y intercept