SOLUTION: I need to find the equation of the line that passes through each pair of points, and I am supposed to write the answer in standard form. I need to know how to do this with one ques

Question 495023: I need to find the equation of the line that passes through each pair of points, and I am supposed to write the answer in standard form. I need to know how to do this with one question, and then I'll know how to do the others. Here it is:
(-2,-4),(1,-1)
And I need to solve with ax+by=c. So please show me step by step how to answer this so I will know what I'm doing for the rest. Thank you! :)
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
first, find the slope (m) of the line by dividing the change in the y-coordinate by the change in the x-coordinate

m = [(-4) - (-1)] / [(-2) - (1)] = [-3] / [-3] = 1

now, write the equation in slope-intercept form (y = mx + b); and using one of the points, find the y-intercept (b)

y = 1x + b ___ -4 = 1(-2) + b ___ -2 = b ___ y = x - 2

rearrange the slope-intercept equation into standard form ___ 2 + y = x ___ x - y = 2
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