Write the standard form of the line that passes through the given points. include your work in your final answer. type your answer in the box provided or use the upload option to submit your solution. (7, -3) and (4, -8)

The equation of a line in "standard form" is ax + by + c = 0.first, find the slope of the line connecting (7, -3) and (4, -8):           -8-[-3]         -5m = = = 5/3          4-7               -3now use the point-slope form y-k = m(x-h) to come up with a first equation: y - [-3] = (5/3) (x-7), or y+3 = (5/3)x - 35/3multiply this through by 3 to eliminate the fraction 35/3: 3y + 9 = 5x - 35now rewrite this in "std. form: "     5x - 3y -35 - 9 = 0, or 5x - 3y - 44 = 0this is the equation of the line in standard form.note that (4, -8) satisfies this equation:   5(4) - 3(-8) - 44 = 0                                                                  20 + 24 - 44 = 0   is true.